Results 11 to 20 of about 974 (111)

Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]

open access: yes, 2014
This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J.   +2 more
core   +3 more sources

Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space

open access: yesAdvances in Difference Equations, 2021
In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
doaj   +1 more source

On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]

open access: yes, 2019
In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P.   +2 more
core   +5 more sources

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

open access: yesFractal and Fractional, 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 multiple ...
Milan Medveď   +2 more
doaj   +1 more source

Theory of Fractional Hybrid Problems in the Frame of ψ-Hilfer Fractional Operators

open access: yesJournal of Function Spaces, 2022
In the present manuscript, we develop and extend a qualitative analysis for two classes of boundary value problems for nonlinear hybrid fractional differential equations with hybrid boundary conditions involving a ψ-Hilfer fractional order derivative ...
Saeed M. Ali   +4 more
doaj   +1 more source

Radu–Miheţ Method for the Existence, Uniqueness, and Approximation of the ψ-Hilfer Fractional Equations by Matrix-Valued Fuzzy Controllers

open access: yesAxioms, 2021
We apply the Radu–Miheţ method derived from an alternative fixed-point theorem with a class of matrix-valued fuzzy controllers to approximate a fractional Volterra integro-differential equation with the ψ-Hilfer fractional derivative in matrix-valued ...
Zahra Eidinejad   +2 more
doaj   +1 more source

Qualitative analysis of coupled system of sequential fractional integrodifferential equations

open access: yesAIMS Mathematics, 2022
In this article we explore the existence, uniqueness, and stability for a coupled system of sequential fractional integrodifferential equations involving ψ–Hilfer fractional derivative with multi–point boundary conditions.
Hira Waheed   +4 more
doaj   +1 more source

Ulam–Hyers–Rassias stability for nonlinear Ψ-Hilfer stochastic fractional differential equation with uncertainty

open access: yesAdvances in Difference Equations, 2020
We consider a nonlinear Cauchy problem involving the Ψ-Hilfer stochastic fractional derivative with uncertainty, and we give a stability result. Using fixed point theory, we are able to provide a fuzzy Ulam–Hyers–Rassias stability for the considered ...
Reza Chaharpashlou   +2 more
doaj   +1 more source

Fractional diffusion modeling of ion channel gating [PDF]

open access: yes, 2004
An anomalous diffusion model for ion channel gating is put forward. This scheme is able to describe non-exponential, power-law like distributions of residence time intervals in several types of ion channels.
A. L. Hodgkin   +15 more
core   +1 more source

On (k,ψ)-Hilfer Fractional Differential Equations and Inclusions with Mixed (k,ψ)-Derivative and Integral Boundary Conditions

open access: yesAxioms, 2022
In this paper we study single-valued and multi-valued (k,ψ)-Hilfer-type boundary value problems of fractional order in (1,2], subject to nonlocal boundary conditions involving (k,ψ)-Hilfer-type derivative and integral operators.
Sotiris K. Ntouyas   +3 more
doaj   +1 more source

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