AIMS Mathematics

Research article

Coefficient bounds for certain two subclasses of bi-univalent functions

Ebrahim Analouei Adegani, Nak Eun Cho, Davood Alimohammadi, Ahmad Motamednezhad

2021, Volume 6, Issue 9: 9126-9137. doi: 10.3934/math.2021530

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Research article

Metric dimension and edge metric dimension of windmill graphs

Pradeep Singh, Sahil Sharma, Sunny Kumar Sharma, Vijay Kumar Bhat

2021, Volume 6, Issue 9: 9138-9153. doi: 10.3934/math.2021531

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Research article

On more general inequalities for weighted generalized proportional Hadamard fractional integral operator with applications

Shuang-Shuang Zhou, Saima Rashid, Erhan Set, Abdulaziz Garba Ahmad, Y. S. Hamed

2021, Volume 6, Issue 9: 9154-9176. doi: 10.3934/math.2021532

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Research article

Stabilization of wind farm integrated transmission system with input delay

Gaoran Wang, Weiwei Sun, Shuqing Wang

2021, Volume 6, Issue 9: 9177-9193. doi: 10.3934/math.2021533

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Research article

Evans model for dynamic economics revised

Ji-Huan He, Chun-Hui He, Hamid M. Sedighi

2021, Volume 6, Issue 9: 9194-9206. doi: 10.3934/math.2021534

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Research article

$M-$ truncated optical soliton and their characteristics to a nonlinear equation governing the certain instabilities of modulated wave trains

Abdullahi Yusuf, Tukur A. Sulaiman, Mustafa Inc, Sayed Abdel-Khalek, K. H. Mahmoud

2021, Volume 6, Issue 9: 9207-9221. doi: 10.3934/math.2021535

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Research article

Well posedness of second-order impulsive fractional neutral stochastic differential equations

Ramkumar Kasinathan, Ravikumar Kasinathan, Dumitru Baleanu, Anguraj Annamalai

2021, Volume 6, Issue 9: 9222-9235. doi: 10.3934/math.2021536

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Research article

On Simpson type inequalities for generalized strongly preinvex functions via

$(p, q)$ -calculus and applications

Waewta Luangboon, Kamsing Nonlaopon, Jessada Tariboon, Sortiris K. Ntouyas

2021, Volume 6, Issue 9: 9236-9261. doi: 10.3934/math.2021537

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Research article

Statistical modelling for Bladder cancer disease using the NLT-W distribution

Heba S. Mohammed, Zubair Ahmad, Alanazi Talal Abdulrahman, Saima K. Khosa, E. H. Hafez, M. M. Abd El-Raouf, Marwa M. Mohie El-Din

2021, Volume 6, Issue 9: 9262-9276. doi: 10.3934/math.2021538

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Research article

Infinitely many solutions for a class of fractional Robin problems with variable exponents

Ramzi Alsaedi

2021, Volume 6, Issue 9: 9277-9289. doi: 10.3934/math.2021539

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Research article

On the fuzzification of Lagrange's theorem in

$(\alpha, \beta)$ -Pythagorean fuzzy environment

Supriya Bhunia, Ganesh Ghorai, Qin Xin

2021, Volume 6, Issue 9: 9290-9308. doi: 10.3934/math.2021540

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Research article

Biharmonic submanifolds of Kaehler product manifolds

Yanlin Li, Mehraj Ahmad Lone, Umair Ali Wani

2021, Volume 6, Issue 9: 9309-9321. doi: 10.3934/math.2021541

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Research article

Further characterizations of the weak group inverse of matrices and the weak group matrix

Hui Yan, Hongxing Wang, Kezheng Zuo, Yang Chen

2021, Volume 6, Issue 9: 9322-9341. doi: 10.3934/math.2021542

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Research article

On the reflexive edge strength of the circulant graphs

Mohamed Basher

2021, Volume 6, Issue 9: 9342-9365. doi: 10.3934/math.2021543

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Research article

Condition numbers of the minimum norm least squares solution for the least squares problem involving Kronecker products

Lingsheng Meng, Limin Li

2021, Volume 6, Issue 9: 9366-9377. doi: 10.3934/math.2021544

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Research article

Fixed points of nonlinear contractions with applications

Mohammed Shehu Shagari, Qiu-Hong Shi, Saima Rashid, Usamot Idayat Foluke, Khadijah M. Abualnaja

2021, Volume 6, Issue 9: 9378-9396. doi: 10.3934/math.2021545

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Research article

Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions

Miguel Vivas-Cortez, Muhammad Aamir Ali, Artion Kashuri, Hüseyin Budak

2021, Volume 6, Issue 9: 9397-9421. doi: 10.3934/math.2021546

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Research article

Construction of

$BCK$ -neighborhood systems in a

$d$ -algebra

Hee Sik Kim, J. Neggers, Sun Shin Ahn

2021, Volume 6, Issue 9: 9422-9435. doi: 10.3934/math.2021547

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Research article

The third-power moment of the Riesz mean error term of symmetric square

$L$ -function

Rui Zhang, Xiaofei Yan

2021, Volume 6, Issue 9: 9436-9445. doi: 10.3934/math.2021548

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Research article

Assessing the role of bacterial plasmid replication in a competition model of sensitive and resistant bacteria to antibiotics

Eduardo Ibargüen-Mondragón, Miller Cerón Gómez, Edith M. Burbano-Rosero

2021, Volume 6, Issue 9: 9446-9467. doi: 10.3934/math.2021549

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Research article

A new vertex distinguishing total coloring of trees

Chao Yang, Bing Yao, Zhi-xiang Yin

2021, Volume 6, Issue 9: 9468-9475. doi: 10.3934/math.2021550

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Research article

Geometric characterizations of canal surfaces with Frenet center curves

Jinhua Qian, Jie Liu, Xueshan Fu, Seoung Dal Jung

2021, Volume 6, Issue 9: 9476-9490. doi: 10.3934/math.2021551

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Research article

Asymptotic behavior for a class of viscoelastic equations with memory lacking instantaneous damping

Jiangwei Zhang, Yongqin Xie

2021, Volume 6, Issue 9: 9491-9509. doi: 10.3934/math.2021552

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Research article

Convergence and quasi-optimality based on an adaptive finite element method for the bilinear optimal control problem

Zuliang Lu, Xiankui Wu, Fei Huang, Fei Cai, Chunjuan Hou, Yin Yang

2021, Volume 6, Issue 9: 9510-9535. doi: 10.3934/math.2021553

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Research article

Almost primes in Piatetski-Shapiro sequences

Victor Zhenyu Guo

2021, Volume 6, Issue 9: 9536-9546. doi: 10.3934/math.2021554

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Research article

Bifurcation results of positive solutions for an elliptic equation with nonlocal terms

Jiaqing Hu, Xian Xu, Qiangqiang Yang

2021, Volume 6, Issue 9: 9547-9567. doi: 10.3934/math.2021555

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Research article

The (2+1)-dimensional hyperbolic nonlinear Schrödinger equation and its optical solitons

Dumitru Baleanu, Kamyar Hosseini, Soheil Salahshour, Khadijeh Sadri, Mohammad Mirzazadeh, Choonkil Park, Ali Ahmadian

2021, Volume 6, Issue 9: 9568-9581. doi: 10.3934/math.2021556

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Research article

Integral inequalities of Hermite-Hadamard type for GA-

$F$ -convex functions

Ye Shuang, Feng Qi

2021, Volume 6, Issue 9: 9582-9589. doi: 10.3934/math.2021557

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Research article

Estimating fixed points of non-expansive mappings with an application

Mohd Jubair, Faizan Ahmad Khan, Javid Ali, Yeşim Saraç

2021, Volume 6, Issue 9: 9590-9601. doi: 10.3934/math.2021558

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Research article

On a Diophantine equation with prime variables

Jing Huang, Ao Han, Huafeng Liu

2021, Volume 6, Issue 9: 9602-9618. doi: 10.3934/math.2021559

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Research article

$\theta$ -type generalized fractional integral and its commutator on some non-homogeneous variable exponent spaces

Guanghui Lu, Li Rui

2021, Volume 6, Issue 9: 9619-9632. doi: 10.3934/math.2021560

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Research article

Some weighted estimates for the commutators of

$p$ -adic Hardy operator on two weighted

$p$ -adic Herz-type spaces

Naqash Sarfraz, Muhammad Aslam

2021, Volume 6, Issue 9: 9633-9646. doi: 10.3934/math.2021561

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Research article

Perturbed uncertain differential equations and perturbed reflected canonical process

Yuanbin Ma, Zhi Li

2021, Volume 6, Issue 9: 9647-9659. doi: 10.3934/math.2021562

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Research article

Soliton solutions for a class of generalized quasilinear Schrödinger equations

Rui Sun

2021, Volume 6, Issue 9: 9660-9674. doi: 10.3934/math.2021563

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Research article

Analysis of the generalized progressive hybrid censoring from Burr Type-Ⅻ lifetime model

Magdy Nagy, Khalaf S. Sultan, Mahmoud H. Abu-Moussa

2021, Volume 6, Issue 9: 9675-9704. doi: 10.3934/math.2021564

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Research article

Dynamical significance of generalized fractional integral inequalities via convexity

Sabila Ali, Shahid Mubeen, Rana Safdar Ali, Gauhar Rahman, Ahmed Morsy, Kottakkaran Sooppy Nisar, Sunil Dutt Purohit, M. Zakarya

2021, Volume 6, Issue 9: 9705-9730. doi: 10.3934/math.2021565

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Research article

Nonlocal coupled system for

$\psi$ -Hilfer fractional order Langevin equations

Weerawat Sudsutad, Sotiris K. Ntouyas, Chatthai Thaiprayoon

2021, Volume 6, Issue 9: 9731-9756. doi: 10.3934/math.2021566

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Research article

List vertex arboricity of planar graphs without 5-cycles intersecting with 6-cycles

Yanping Yang, Yang Wang, Juan Liu

2021, Volume 6, Issue 9: 9757-9769. doi: 10.3934/math.2021567

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Research article

Inference of fuzzy reliability model for inverse Rayleigh distribution

Mohamed A. H. Sabry, Ehab M. Almetwally, Osama Abdulaziz Alamri, M. Yusuf, Hisham M. Almongy, Ahmed Sedky Eldeeb

2021, Volume 6, Issue 9: 9770-9785. doi: 10.3934/math.2021568

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Research article

Well posedness for a singular two dimensional fractional initial boundary value problem with Bessel operator involving boundary integral conditions

Said Mesloub, Faten Aldosari

2021, Volume 6, Issue 9: 9786-9812. doi: 10.3934/math.2021569

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Research article

Optimal control of effector-tumor-normal cells dynamics in presence of adoptive immunotherapy

Anusmita Das, Kaushik Dehingia, Hemanta Kumar Sharmah, Choonkil Park, Jung Rye Lee, Khadijeh Sadri, Kamyar Hosseini, Soheil Salahshour

2021, Volume 6, Issue 9: 9813-9834. doi: 10.3934/math.2021570

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Research article

Embedding theorems for variable exponent fractional Sobolev spaces and an application

Haikun Liu, Yongqiang Fu

2021, Volume 6, Issue 9: 9835-9858. doi: 10.3934/math.2021571

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Research article

Mathematical modeling and optimal control strategies of Buruli ulcer in possum mammals

Muhammad Altaf Khan, E. Bonyah, Yi-Xia Li, Taseer Muhammad, K. O. Okosun

2021, Volume 6, Issue 9: 9859-9881. doi: 10.3934/math.2021572

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Research article

On weakly semiprime segments of ordered semihypergroups

Ze Gu

2021, Volume 6, Issue 9: 9882-9885. doi: 10.3934/math.2021573

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Research article

The generalized inverse eigenvalue problem of Hamiltonian matrices and its approximation

Lina Liu, Huiting Zhang, Yinlan Chen

2021, Volume 6, Issue 9: 9886-9898. doi: 10.3934/math.2021574

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Research article

On the fourth-order nonlinear beam equation of a small deflection with nonlocal conditions

Ammar Khanfer, Lazhar Bougoffa

2021, Volume 6, Issue 9: 9899-9910. doi: 10.3934/math.2021575

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Research article

Prime decomposition of quadratic matrix polynomials

Yunbo Tian, Sheng Chen

2021, Volume 6, Issue 9: 9911-9918. doi: 10.3934/math.2021576

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Research article

Complete solutions of the simultaneous Pell equations

$(a^2+1)y^2-x^2 = y^2-bz^2 = 1$

Changsheng Luo, Jiagui Luo

2021, Volume 6, Issue 9: 9919-9938. doi: 10.3934/math.2021577

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Research article

A new reverse Mulholland-type inequality with multi-parameters

Bicheng Yang, Shanhe Wu, Aizhen Wang

2021, Volume 6, Issue 9: 9939-9954. doi: 10.3934/math.2021578

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Research article

The extended generalized inverted Kumaraswamy Weibull distribution: Properties and applications

Qasim Ramzan, Muhammad Amin, Ahmed Elhassanein, Muhammad Ikram

2021, Volume 6, Issue 9: 9955-9980. doi: 10.3934/math.2021579

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Research article

A study of fractional order Ambartsumian equation involving exponential decay kernel

Shabir Ahmad, Aman Ullah, Ali Akgül, Manuel De la Sen

2021, Volume 6, Issue 9: 9981-9997. doi: 10.3934/math.2021580

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Research article

A novel approach to find partitions of

$Z_{m}$ with equal sum subsets via complete graphs

M. Haris Mateen, Muhammad Khalid Mahmmod, Doha A. Kattan, Shahbaz Ali

2021, Volume 6, Issue 9: 9998-10024. doi: 10.3934/math.2021581

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Research article

General equilibrium of Bertrand game: A spatial computational approach

Bingyuan Gao, Yaxin Zheng, Jieyu Huang

2021, Volume 6, Issue 9: 10025-10036. doi: 10.3934/math.2021582

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Research article

Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation

Aissa Boukarou, Kaddour Guerbati, Khaled Zennir, Mohammad Alnegga

2021, Volume 6, Issue 9: 10037-10054. doi: 10.3934/math.2021583

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Research article

Computation of traveling wave solution for nonlinear variable-order fractional model of modified equal width equation

Umair Ali, Sanaullah Mastoi, Wan Ainun Mior Othman, Mostafa M. A Khater, Muhammad Sohail

2021, Volume 6, Issue 9: 10055-10069. doi: 10.3934/math.2021584

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Research article

Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales

Xiaofang Meng, Yongkun Li

2021, Volume 6, Issue 9: 10070-10091. doi: 10.3934/math.2021585

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Research article

Volterra integral operator and essential norm on Dirichlet type spaces

Liu Yang, Ruishen Qian

2021, Volume 6, Issue 9: 10092-10104. doi: 10.3934/math.2021586

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Research article

Global existence and new decay results of a viscoelastic wave equation with variable exponent and logarithmic nonlinearities

Mohammad M. Al-Gharabli, Adel M. Al-Mahdi, Mohammad Kafini

2021, Volume 6, Issue 9: 10105-10129. doi: 10.3934/math.2021587

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Research article

Further study on the conformable fractional Gauss hypergeometric function

Mahmoud Abul-Ez, Mohra Zayed, Ali Youssef

2021, Volume 6, Issue 9: 10130-10163. doi: 10.3934/math.2021588

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Research article

Generalized integral inequalities for ABK-fractional integral operators

Saad Ihsan Butt, Erhan Set, Saba Yousaf, Thabet Abdeljawad, Wasfi Shatanawi

2021, Volume 6, Issue 9: 10164-10191. doi: 10.3934/math.2021589

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Research article

$\alpha$ -Admissible mapping in

$C^{*}$ -algebra-valued b-metric spaces and fixed point theorems

Saleh Omran, Ibtisam Masmali

2021, Volume 6, Issue 9: 10192-10206. doi: 10.3934/math.2021590

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Research article

Minimal translation graphs in semi-Euclidean space

Derya Sağlam

2021, Volume 6, Issue 9: 10207-10221. doi: 10.3934/math.2021591

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Research article

The unit generalized log Burr XII distribution: properties and application

Fiaz Ahmad Bhatti, Azeem Ali, G. G. Hamedani, Mustafa Ç. Korkmaz, Munir Ahmad

2021, Volume 6, Issue 9: 10222-10252. doi: 10.3934/math.2021592

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Research article

Planar graphs without

$\{4, 6, 8\}$ -cycles are 3-choosable

Yueying Zhao, Lianying Miao

2021, Volume 6, Issue 9: 10253-10265. doi: 10.3934/math.2021593

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Mini review

Application of fractional differential equation in economic growth model: A systematic review approach

Muhamad Deni Johansyah, Asep K. Supriatna, Endang Rusyaman, Jumadil Saputra

2021, Volume 6, Issue 9: 10266-10280. doi: 10.3934/math.2021594

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Research article

New methods based

$\mathcal{H}$ -tensors for identifying the positive definiteness of multivariate homogeneous forms

Dongjian Bai, Feng Wang

2021, Volume 6, Issue 9: 10281-10295. doi: 10.3934/math.2021595

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Research article

A new approach for Cauchy noise removal

Lufeng Bai

2021, Volume 6, Issue 9: 10296-10312. doi: 10.3934/math.2021596

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Research article

Integral inequalities for hyperbolic type preinvex functions

Sarah Elahi, Muhammad Aslam Noor

2021, Volume 6, Issue 9: 10313-10326. doi: 10.3934/math.2021597

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Research article

Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation

Dun-Gang Li, Fan Yang, Ping Fan, Xiao-Xiao Li, Can-Yun Huang

2021, Volume 6, Issue 9: 10327-10342. doi: 10.3934/math.2021598

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Research article

On meromorphic solutions of certain differential-difference equations

Yong Liu, Chaofeng Gao, Shuai Jiang

2021, Volume 6, Issue 9: 10343-10354. doi: 10.3934/math.2021599

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2021 Volume 6, Issue 9