Loading [Contrib]/a11y/accessibility-menu.js

Special Issue: Differential equations in the complex domain

Guest Editor

Prof. Alberto Lastra
Department of Physics and Mathematics, University of Alcalá, Spain
Email: alberto.lastra@uah.es


Manuscript Topics

In the last decades, the theory of functional equations in the complex domain has experienced a great development, together with the methods involved in their study. Among them, one can cite ordinary differential equations, partial differential equations, difference and q-difference equations, integral equations, fractional equations, etc.


The aim of this special issue is focused on publishing original papers covering the recent advances in the study of Ordinary Differential Equations in the complex domain, Partial Differential Equations in several complex variables and other functional equations such as difference equations in the complex domain, including q-difference equations, and other functional equations mentioned above.


Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/


Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 11 July 2021

Published Papers(22)

Research article
Hyers-Ulam-Mittag-Leffler stability of fractional differential equations with two caputo derivative using fractional fourier transform
Anumanthappa Ganesh Swaminathan Deepa Dumitru Baleanu Shyam Sundar Santra Osama Moaaz Vediyappan Govindan Rifaqat Ali
2022, Volume 7, Issue 2: 1791-1810. doi: 10.3934/math.2022103
Abstract HTML PDF Cited (11) Viewed (2942)
Research article
First-order linear differential equations whose data are complex random variables: Probabilistic solution and stability analysis via densities
J.-C. Cortés A. Navarro-Quiles J.-V. Romero M.-D. Roselló
2022, Volume 7, Issue 1: 1486-1506. doi: 10.3934/math.2022088
Abstract HTML PDF Viewed (2873)
Research article
On the existence of almost periodic solutions of impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms
Li Wang Hui Zhang Suying Liu
2022, Volume 7, Issue 1: 925-938. doi: 10.3934/math.2022055
Abstract HTML PDF Cited (4) Viewed (2546)
Research article
Some properties for certain class of bi-univalent functions defined by $ q $-Cătaş operator with bounded boundary rotation
S. M. Madian
2022, Volume 7, Issue 1: 903-914. doi: 10.3934/math.2022053
Abstract HTML PDF Cited (2) Viewed (2530)
Research article
Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system
Yaqiong Liu Yunting Li Qiuping Liao Yunhui Yi
2021, Volume 6, Issue 12: 13665-13688. doi: 10.3934/math.2021794
Abstract HTML PDF Cited (1) Viewed (2210)
Research article
On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative
Xiaoping Li Dexin Chen
2021, Volume 6, Issue 12: 13622-13633. doi: 10.3934/math.2021792
Abstract HTML PDF Cited (2) Viewed (1978)
Research article
Oscillation of arbitrary-order derivatives of solutions to the higher order non-homogeneous linear differential equations taking small functions in the unit disc
Pan Gong Hong Yan Xu
2021, Volume 6, Issue 12: 13746-13757. doi: 10.3934/math.2021798
Abstract HTML PDF Viewed (2056)
Research article
On [p, q]-order of growth of solutions of linear differential equations in the unit disc
Hongyan Qin Jianren Long Mingjin Li
2021, Volume 6, Issue 11: 12878-12893. doi: 10.3934/math.2021743
Abstract HTML PDF Viewed (2524)
Research article
Uniqueness for meromorphic solutions of Schwarzian differential equation
Dan-Gui Yao Zhi-Bo Huang Ran-Ran Zhang
2021, Volume 6, Issue 11: 12619-12631. doi: 10.3934/math.2021727
Abstract HTML PDF Cited (1) Viewed (2277)
Research article
Cost-effectiveness analysis on measles transmission with vaccination and treatment intervention
Shinta A. Rahmayani Dipo Aldila Bevina D. Handari
2021, Volume 6, Issue 11: 12491-12527. doi: 10.3934/math.2021721
Abstract HTML PDF Cited (8) Viewed (4177)
Research article
Analysis of an SQEIAR epidemic model with media coverage and asymptomatic infection
Xiangyun Shi Xiwen Gao Xueyong Zhou Yongfeng Li
2021, Volume 6, Issue 11: 12298-12320. doi: 10.3934/math.2021712
Abstract HTML PDF Cited (9) Viewed (2963)
Research article
Lie symmetries of Generalized Equal Width wave equations
Mobeen Munir Muhammad Athar Sakhi Sarwar Wasfi Shatanawi
2021, Volume 6, Issue 11: 12148-12165. doi: 10.3934/math.2021705
Abstract HTML PDF Cited (5) Viewed (2909)
Research article
Global well-posedness to the Cauchy problem of 2D inhomogeneous incompressible magnetic Bénard equations with large initial data and vacuum
Zhongying Liu
2021, Volume 6, Issue 11: 12085-12103. doi: 10.3934/math.2021701
Abstract HTML PDF Cited (2) Viewed (2419)
Research article
Solutions for systems of complex Fermat type partial differential-difference equations with two complex variables
Hong Li Keyu Zhang Hongyan Xu
2021, Volume 6, Issue 11: 11796-11814. doi: 10.3934/math.2021685
Abstract HTML PDF Cited (3) Viewed (2606)
Research article
Cubic nonlinear differential system, their periodic solutions and bifurcation analysis
Saima Akram Allah Nawaz Mariam Rehman
2021, Volume 6, Issue 10: 11286-11304. doi: 10.3934/math.2021655
Abstract HTML PDF Cited (1) Viewed (3445)
Research article
Oscillatory and asymptotic properties of higher-order quasilinear neutral differential equations
Clemente Cesarano Osama Moaaz Belgees Qaraad Ali Muhib
2021, Volume 6, Issue 10: 11124-11138. doi: 10.3934/math.2021646
Abstract HTML PDF Cited (2) Viewed (2316)
Research article
On fuzzy Volterra-Fredholm integrodifferential equation associated with Hilfer-generalized proportional fractional derivative
Saima Rashid Fahd Jarad Khadijah M. Abualnaja
2021, Volume 6, Issue 10: 10920-10946. doi: 10.3934/math.2021635
Abstract HTML PDF Cited (9) Viewed (2921)
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
Abstract HTML PDF Cited (1) Viewed (2670)
Research article
Nonlinear Fredholm integro-differential equation in two-dimensional and its numerical solutions
A. M. Al-Bugami
2021, Volume 6, Issue 10: 10383-10394. doi: 10.3934/math.2021602
Abstract HTML PDF Cited (6) Viewed (3774)
Research article
Local existence and lower bound of blow-up time to a Cauchy problem of a coupled nonlinear wave equations
Mohammad Kafini Shadi Al-Omari
2021, Volume 6, Issue 8: 9059-9074. doi: 10.3934/math.2021526
Abstract HTML PDF Cited (1) Viewed (2643)
Research article
Global bifurcation result and nodal solutions for Kirchhoff-type equation
Fumei Ye Xiaoling Han
2021, Volume 6, Issue 8: 8331-8341. doi: 10.3934/math.2021482
Abstract HTML PDF Cited (1) Viewed (2854)
Research article
On properties of solutions of complex differential equations in the unit disc
Jianren Long Pengcheng Wu Sangui Zeng
2021, Volume 6, Issue 8: 8256-8275. doi: 10.3934/math.2021478
Abstract HTML PDF Cited (1) Viewed (3160)