Results 61 to 70 of about 408 (175)

Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses

Abstract and Applied Analysis, 2021
This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative.
Abdelkrim Salim, Mouffak Benchohra, Jamal Eddine Lazreg, Gaston N’Guérékata   +3 more
doaj   +1 more source

On a Nonlinear Coupled Fractional Differential System With Multiderivative‐Terms and Coupled Closed Boundary Data

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article is devoted to the study of existence, uniqueness, and Ulam–Hyers stability for a coupled system of two nonlinear Caputo‐type multiterm fractional differential equations equipped with coupled closed boundary data. The concept of coupled closed boundary conditions finds its applications in several physical situations, like composite panels ...
Ahmed Alsaedi, Hafed A. Saeed, Bashir Ahmad, Stanislaw Migorski   +3 more
wiley   +1 more source

Anomalous relaxation in dielectrics with Hilfer fractional derivative

, 2020
20 ...
Plata, A. R. Gomez, Rosa, Ester C. A. F., Rodriguez-Giraldo, R. G, de Oliveira, E. Capelas   +3 more
openaire   +2 more sources

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

Advances in Difference Equations, 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 )
Wasfi Shatanawi, Abdellatif Boutiara, Mohammed S. Abdo, Mdi B. Jeelani, Kamaleldin Abodayeh   +4 more
doaj   +1 more source

A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit, Ravi Gupta, Shyamsunder, D. L. Suthar, Antonio Di Crescenzo   +4 more
wiley   +1 more source

FRACTIONAL CAUCHY PROBLEMS ASSOCIATED WITH THE BI-ORDINAL HILFER FRACTIONAL q-DERIVATIVE

, 2022
To study the existence and uniqueness of solutions to Cauchy-type problems for fractional q-difference equations with the bi-ordinal Hilfer fractional q-derivative which is an extension of the Hilfer fractional q-derivative. An approach is based on the equivalence of the nonlinear Cauchy-type problem with a nonlinear Volterra q-integral equation of the
Karimov, Erkinjon, Ruzhansky, Michael, Shaimardan, Serikbol   +2 more
openaire   +2 more sources

A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators

Journal of Inequalities and Applications, 2023
In this paper, we propose a generalized Gronwall inequality in the context of the ψ-Hilfer proportional fractional derivative. Using Picard’s successive approximation and the definition of Mittag–Leffler functions, we construct the representation formula
Weerawat Sudsutad, Chatthai Thaiprayoon, Bounmy Khaminsou, Jehad Alzabut, Jutarat Kongson   +4 more
doaj   +1 more source

Pseudo‐Quantum Fractional Calculus and Existence of Solutions for Delay Pseudo‐Fractional Differential Equations in Generalized Banach Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a new framework of pseudo‐q–fractional calculus in generalized Banach spaces by bringing together pseudo‐analysis, G–calculus, and quantum calculus. We introduce Liouville–Caputo and Riemann–Liouville pseudo‐q–fractional operators and outline their main properties. Then, by applying the Banach fixed point principle, we establish the
Alireza Hatami, Reza Saadati, Mohammad Bagher Ghaemi, Donal O’Regan, Smritijit Sen   +4 more
wiley   +1 more source

Analytical Investigation of Fractional Nonlinear Systems in Compact‐Open Banach Spaces: Applications in the Chemical Wave Propagation Theory

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag, Khaled M. Saad, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Smritijit Sen   +5 more
wiley   +1 more source

Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque, Mohammad Ayman-Mursaleen, Hojjatollah Amiri Kayvanloo, Smritijit Sen   +3 more
wiley   +1 more source