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Special Issue: Inequalities & Partial Differential Equations

Guest Editor

Prof. Patricia J. Y. Wong
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore
Email: ejywong@ntu.edu.sg

Manuscript Topics


Inequalities play a crucial role in addressing mathematical problems across various branches of mathematics, with Young's inequality being a prominent example widely utilized in applied mathematics. Partial differential equations (PDEs) are fundamental in modeling diverse phenomena and processes across fields such as physics, biology, finance, and engineering. The investigation of PDE solutions, whether through qualitative theory or quantitative methods, as well as the application of these studies to real-world problems, has garnered significant interest from researchers.


This Special Issue aims to gather original contributions on:    
• The development of new inequalities with potential applications in various fields of mathematics.    
• The use of PDEs in modeling real-world phenomena.    
• The qualitative theory concerning the solutions of PDEs.    
• Analytical/numerical methods for solving PDEs.    
• PDEs involving fractional derivatives.


Keywords:
• inequalities
• diffusion equations
• wave type equations
• partial differential equations with delay
• partial functional differential equations
• fractional partial differential equations
• numerical solution
• analytical solution
• modelling


Instruction for Authors
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Please submit your manuscript to online submission system
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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 28 February 2025

Published Papers(21)

Research article
Influence of the β-fractional derivative on optical soliton solutions of the pure-quartic nonlinear Schrödinger equation with weak nonlocality
Mahmoud Soliman Hamdy M. Ahmed Niveen Badra M. Elsaid Ramadan Islam Samir Soliman Alkhatib
2025, Volume 10, Issue 3: 7489-7508. doi: 10.3934/math.2025344
Abstract HTML PDF Viewed (114)
Research article
Discussion on exact null boundary controllability of nonlinear fractional stochastic evolution equations in Hilbert spaces
Noorah Mshary Hamdy M. Ahmed
2025, Volume 10, Issue 3: 5552-5567. doi: 10.3934/math.2025256
Abstract HTML PDF Viewed (212)
Research article
Dirichlet and Neumann boundary value problems for bi-polyanalytic functions on the bicylinder
Yanyan Cui Chaojun Wang
2025, Volume 10, Issue 3: 4792-4818. doi: 10.3934/math.2025220
Abstract HTML PDF Viewed (246)
Research article
Bifurcation analysis, chaotic behaviors, and explicit solutions for a fractional two-mode Nizhnik-Novikov-Veselov equation in mathematical physics
Noor Alam Mohammad Safi Ullah Jalil Manafian Khaled H. Mahmoud A. SA. Alsubaie Hamdy M. Ahmed Karim K. Ahmed Soliman Al Khatib
2025, Volume 10, Issue 3: 4558-4578. doi: 10.3934/math.2025211
Abstract HTML PDF Viewed (438)
Research article
Generalization of some retarded integral inequalities with power in two independent variables and applications
Selma Mili Ammar Boudeliou
2025, Volume 10, Issue 2: 4120-4138. doi: 10.3934/math.2025191
Abstract HTML PDF Viewed (240)
Research article
The novel stochastic structure of solitary waves to the stochastic Maccari's system via Wiener process
M. B. Almatrafi Mahmoud A. E. Abdelrahman
2025, Volume 10, Issue 1: 1183-1200. doi: 10.3934/math.2025056
Abstract HTML PDF Viewed (328)
Research article
Analysis of superquadratic fuzzy interval valued function and its integral inequalities
Dawood Khan Saad Ihsan Butt Asfand Fahad Yuanheng Wang Bandar Bin Mohsin
2025, Volume 10, Issue 1: 551-583. doi: 10.3934/math.2025025
Abstract HTML PDF Viewed (466)
Research article
Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method
Asrar Saleh Alsulami Mariam Al-Mazmumy Maryam Ahmed Alyami Mona Alsulami
2024, Volume 9, Issue 12: 35910-35930. doi: 10.3934/math.20241702
Abstract HTML PDF Viewed (579)
Research article
Improvements of the integral Jensen inequality through the treatment of the concept of convexity of thrice differential functions
Asadullah Sohail Muhammad Adil Khan Xiaoye Ding Mohamed Sharaf Mohammed A. El-Meligy
2024, Volume 9, Issue 12: 33973-33994. doi: 10.3934/math.20241620
Abstract HTML PDF Viewed (528)
Research article
Novel analytical superposed nonlinear wave structures for the eighth-order (3+1)-dimensional Kac-Wakimoto equation using improved modified extended tanh function method
Wafaa B. Rabie Hamdy M. Ahmed Taher A. Nofal E. M. Mohamed
2024, Volume 9, Issue 12: 33386-33400. doi: 10.3934/math.20241593
Abstract HTML PDF Cited (1) Viewed (690)
Research article
Wave dynamics for the new generalized (3+1)-D Painlevé-type nonlinear evolution equation using efficient techniques
Jamilu Sabi'u Sekson Sirisubtawee Surattana Sungnul Mustafa Inc
2024, Volume 9, Issue 11: 32366-32398. doi: 10.3934/math.20241552
Abstract HTML PDF Viewed (1223)
Research article
Advanced Hardy-type inequalities with negative parameters involving monotone functions in delta calculus on time scales
Ahmed M. Ahmed Ahmed I. Saied Mohammed Zakarya Amirah Ayidh I Al-Thaqfan Maha Ali Haytham M. Rezk
2024, Volume 9, Issue 11: 31926-31946. doi: 10.3934/math.20241534
Abstract HTML PDF Viewed (624)
Research article
An analysis of fractional integral calculus and inequalities by means of coordinated center-radius order relations
Waqar Afzal Mujahid Abbas Jongsuk Ro Khalil Hadi Hakami Hamad Zogan
2024, Volume 9, Issue 11: 31087-31118. doi: 10.3934/math.20241499
Abstract HTML PDF Viewed (638)
Research article
A mathematical model for simulating the spread of infectious disease using the Caputo-Fabrizio fractional-order operator
Parveen Kumar Sunil Kumar Badr Saad T Alkahtani Sara S Alzaid
2024, Volume 9, Issue 11: 30864-30897. doi: 10.3934/math.20241490
Abstract HTML PDF Cited (1) Viewed (842)
Research article
Problems involving combinations of coefficients for the inverse of some complex-valued analytical functions
Huo Tang Muhammad Abbas Reem K. Alhefthi Muhammad Arif
2024, Volume 9, Issue 10: 28931-28954. doi: 10.3934/math.20241404
Abstract HTML PDF Cited (1) Viewed (575)
Research article
Resonance with Landesman-Lazer conditions for parameter-dependent equations: a multiplicity result via the Poincaré-Birkhoff theorem
Chunlian Liu Shuang Wang Fanfan Chen
2024, Volume 9, Issue 10: 28320-28340. doi: 10.3934/math.20241374
Abstract HTML PDF Viewed (817)
Research article
Derivation of some solitary wave solutions for the (3+1)- dimensional pKP-BKP equation via the IME tanh function method
Abeer S. Khalifa Hamdy M. Ahmed Niveen M. Badra Jalil Manafian Khaled H. Mahmoud Kottakkaran Sooppy Nisar Wafaa B. Rabie
2024, Volume 9, Issue 10: 27704-27720. doi: 10.3934/math.20241345
Abstract HTML PDF Cited (1) Viewed (792)
Research article
Analysis of nonlinear implicit fractional differential equations with the Atangana-Baleanu derivative via measure of non-compactness
Kishor D. Kucche Sagar T. Sutar Kottakkaran Sooppy Nisar
2024, Volume 9, Issue 10: 27058-27079. doi: 10.3934/math.20241316
Abstract HTML PDF Viewed (855)
Research article
Diagonal solutions for a class of linear matrix inequality
Ali Algefary
2024, Volume 9, Issue 10: 26435-26445. doi: 10.3934/math.20241286
Abstract HTML PDF Viewed (858)
Research article
New soliton wave structure and modulation instability analysis for nonlinear Schrödinger equation with cubic, quintic, septic, and nonic nonlinearities
Abeer S. Khalifa Hamdy M. Ahmed Niveen M. Badra Wafaa B. Rabie Farah M. Al-Askar Wael W. Mohammed
2024, Volume 9, Issue 9: 26166-26181. doi: 10.3934/math.20241278
Abstract HTML PDF Cited (1) Viewed (947)
Research article
Well-posedness of a nonlinear stochastic model for a chemical reaction in porous media and applications
Mhamed Eddahbi Mogtaba Mohammed Hammou El-Otmany
2024, Volume 9, Issue 9: 24860-24886. doi: 10.3934/math.20241211
Abstract HTML PDF Viewed (826)