Results 51 to 60 of about 650,024 (164)

Generalized Hilfer-Polya, Hilfer-Ostrowski and Hilfer-Hilbert-Pachpatte Fractional Inequalities

, 2021
Here we present Hilfer-Polya, ψ -Hilfer Ostrowski and ψ -Hilfer-Hilbert-Pachpatte types fractional inequalities. They are univariate inequalities involving left and right Hilfer and ψ -Hilfer fractional derivatives.
George A. Anastassiou
core   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

Nonlinear Integral Inequalities Involving Tempered Ψ-Hilfer Fractional Integral and Fractional Equations with Tempered Ψ-Caputo Fractional Derivative

, 2023
In this paper, the nonlinear version of the Henry–Gronwall integral inequality with the tempered Ψ-Hilfer fractional integral is proved. The particular cases, including the linear one and the nonlinear integral inequality of this type with ...
Eva Brestovanská, Milan Medveď, Michal Pospíšil   +2 more
core   +1 more source

Optimal Quantum Control in Fermionic Stochastic Systems With Bounded Delay

IET Quantum Communication, Volume 7, Issue 1, January/December 2026.
This figure illustrates the workflow of a quantum control system driven by fermionic Brownian motion, integrating control inputs, delay conditions and state updates. It outlines the iterative process of constructing a cost functional system, applying optimality conditions, and refining the quantum state through control functions.
Divyabala Kanagaraj, Durga Nagarajan
wiley   +1 more source

Fractional Sequential Coupled Systems of Hilfer and Caputo Integro-Differential Equations with Non-Separated Boundary Conditions

Axioms
In studying boundary value problems and coupled systems of fractional order in (1,2], involving Hilfer fractional derivative operators, a zero initial condition is necessary.
Ayub Samadi, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

A Review of Certain Modern Special Functions and Their Applications

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric functions.
Hala Abd Elmageed, Mohamed Abdalla, AbdelMaksoud Soliman   +2 more
wiley   +1 more source

Nonlocal and multiple-point fractional boundary value problem in the frame of a generalized Hilfer derivative

, 2021
The aim of this manuscript is to handle the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equations involving a ξ-Hilfer derivative. The used fractional operator is generated by the kernel of the kind k ( ϑ , s )
Abdellatif Boutiara, Mdi B. Jeelani, Wasfi Shatanawi, Kamaleldin Abodayeh, Mohammed S. Abdo   +4 more
core   +1 more source

On the Solution Structure of Sequential φ‐Hilfer Fractional Differential Equations With p‐Laplacian Operator

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
This work researches in a class of φ‐Hilfer FDEs with p‐Laplacian operator by evolving an appropriate analytical framework. We demonstrate the existence and uniqueness of solutions utilizing Banach′s fixed‐point theorem. Subsequently, an alternative theorem is applied to verify the existence of at least a single solution. In addition to the theoretical
Mohammed Kaid, Khellaf Ould Melha, Mohammad Esmael Samei, Sabri T. M. Thabet, Taoufik Moulahi, Thabet Abdeljawad, Higinio Ramos Calle   +6 more
wiley   +1 more source

Exploring Ecological Dynamics and Bifurcation Structure of a Prey–Predator Model

Complexity, Volume 2026, Issue 1, 2026.
The present work examines the dynamical features of a discrete‐time Rosenzweig–MacArthur predator–prey system in which the predation rate is modulated by prey density. Through a combination of theoretical derivations and computational experiments, we establish the occurrence of period‐doubling (PD) and Neimark–Sacker (NS) bifurcations, both of which ...
M. D. Mutakabbir Khan, M. D. Jasim Uddin, Mainul Haque, Xinzhi Liu   +3 more
wiley   +1 more source

Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise‐Modified Fractional‐Order Derivative

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman, Refka Ghodhbani, Mehmet Yavuz, Saira Tabassum, Deepali   +4 more
wiley   +1 more source