Results 51 to 60 of about 974 (111)

Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2021
In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon, Weerawat Sudsutad, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay

Fractal and Fractional, 2023
In this paper, we explain the approximate controllability of Ψ-Hilfer fractional neutral differential equations with infinite delay. The outcome is demonstrated using the infinitesimal operator, fractional calculus, semigroup theory, and the ...
Chandrabose Sindhu Varun Bose, Ramalingam Udhayakumar, Subramanian Velmurugan, Madhrubootham Saradha, Barakah Almarri   +4 more
doaj   +1 more source

Continuous time random walk and parametric subordination in fractional diffusion

, 2007
The well-scaled transition to the diffusion limit in the framework of the theory of continuous-time random walk (CTRW)is presented starting from its representation as an infinite series that points out the subordinated character of the CTRW itself.
Alessandro Vivoli, Baeumer, Balescu, Barkai, Barkai, Barkai, Bochner, Bochner, Cox, Feller, Francesco Mainardi, Gel`fand, Gorenflo, Gorenflo, Gorenflo, Gorenflo, Grigolini, Hilfer, Hilfer, Hilfer, Janicki, Janicki, Kilbas, Kotulski, Mainardi, Mainardi, Mainardi, Mainardi, Mannella, Meerschaert, Meerschaert, Metzler, Metzler, Metzler, Montroll, Montroll, Montroll, Montroll, Piryatinska, Podlubny, Rudolf Gorenflo, Saichev, Samko, Sato, Scalas, Scalas, Scalas, Shlesinger, Sokolov, Sokolov, Sokolov, Sokolov, Sokolov, Sokolov, Stanislavski, Stanislavsky, Uchaikin, Uchaikin, Weiss, West, Wyss, Zaslavsky, Zaslavsky   +62 more
core   +4 more sources

A Fractional‐Order Alcoholism Model Incorporating Hypothetical Social Influence: A Theoretical and Numerical Study

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study introduces a fractional‐order mathematical model for alcoholism dynamics using the Hilfer derivative to capture memory effects and hereditary properties within a unified framework. The model incorporates hypothetical social influence through sentiment‐based variables to represent positive and negative social interactions.
Ramsha Shafqat, Ateq Alsaadi, Abeer Alubaidi, Pramita Mishra   +3 more
wiley   +1 more source

The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession

Fractal and Fractional
Fractional differential equations (FDEs) are employed to describe the physical universe. This article investigates the attractivity of solutions for FDEs and Ulam–Hyers–Rassias stability, involving the Ψ-Hilfer fractional derivative.
Mdi Begum Jeelani, Farva Hafeez, Nouf Abdulrahman Alqahtani   +2 more
doaj   +1 more source

Fractional integro-differential equations with nonlocal conditions and ψ–Hilfer fractional derivative

Mathematical Modelling and Analysis, 2019
Considering a fractional integro-differential equation with nonlocal conditions involving a general form of Hilfer fractional derivative with respect to another function.
Mohammed S. Abdo, Satish K. Panchal, Hussien Shafei Hussien   +2 more
doaj   +1 more source

Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations

, 2001
We consider the linear response of systems modelled by continuous-time random walks (CTRW) and by fractional Fokker-Planck equations under the influence of time-dependent external fields. We calculate the corresponding response functions explicitely. The
A. Blumen, Barkai, Barkai, Barkai, Blumen, Blumen, Bouchaud, Bouchaud, Feigel'man, Granek, Haus, Hilfer, I.M. Sokolov, J. Klafter, Liu, Metzler, Metzler, Monthus, Montroll, Rinn, Scher, Schiessel, Schiessel, Shlesinger, Sokolov   +24 more
core   +1 more source

On Solutions of the Nonlocal Generalized Coupled Langevin‐Type Pantograph Systems

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper concentrates on the analysis of a category of coupled Langevin‐type pantograph differential equations involving the generalized Caputo fractional derivative with nonlocal conditions. We conduct this analysis in two cases for the second member in the nonlinear function; in other words, for the real space R and an abstract Banach space Θ.
Houari Bouzid, Abdelkader Benali, Abdelkrim Salim, Reny George, Sina Etemad, Guotao Wang   +5 more
wiley   +1 more source

Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations

Results in Control and Optimization
Sufficient conditions for controllability of impulsive nonlinear integro-differential equations with ψ-Hilfer fractional derivative are established. The result are obtained by using fractional calculus and Schaefer’s fixed point theorem.
A.M. Sayed Ahmed, Mahmoud A. AL-Nahhas, Othman A.M. Omar, Dimplekumar N. Chalishajar, Hamdy M. Ahmed   +4 more
doaj   +1 more source

On the theory of fractional terminal value problem with ψ-Hilfer fractional derivative

AIMS Mathematics, 2020
In this paper, we prove the existence and uniqueness of solutions of a new class of boundary value problems of terminal type for ψ-Hilfer fractional differential equations. The technique used in the analysis relies on the Banach contraction principle and
Mohammed A. Almalahi, Mohammed S. Abdo, Satish K. Panchal   +2 more
doaj   +1 more source