Results 1 to 10 of about 868 (169)

Three-Point Boundary Value Problems for the Langevin Equation with the Hilfer Fractional Derivative

Advances in Mathematical Physics, 2020
We discuss the existence and uniqueness of solutions for the Langevin fractional differential equation and its inclusion counterpart involving the Hilfer fractional derivatives, supplemented with three-point boundary conditions by means of standard tools
Athasit Wongcharoen, Bashir Ahmad, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
doaj   +3 more sources

Blowing-up solutions for time-fractional equations on a bounded domain

Advances in Mechanical Engineering, 2022
This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain.
Abdellatif Boutiara, Mohammed KA Kaabar, Maamar Benbachir, Mohammad Esmael Samei, Xiao-Guang Yue   +4 more
doaj   +2 more sources

The e-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator

Differential Equations & Applications, 2023
. In this paper, we investigate the existence of global e -positive mild solutions to the initial value problem for a nonlinear impulsive fractional evolution differential equation involving the theory of sectorial operators.
J. F. Junior, José Vanterler da Costa Sousa, E. Capelas de Oliveira   +2 more
semanticscholar   +1 more source

SOME NEW RESULTS OF INITIAL BOUNDARY PROBLEM CONTAIN ABC-FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α∈(2,3)

IJISCS (International Journal of Information System and Computer Science), 2023
The purpose of this research is to investegate the existence and uniqueness of solutions for a new  class of Atangana-Baleanu fractional differential equations of order  with periodic boundary conditions.
A. Rafeeq, Muhammad Muhammad
semanticscholar   +1 more source

Existence of mild solutions for nonlocal ψ−Caputo-type fractional evolution equations with nondense domain

Nonautonomous Dynamical Systems, 2022
The main crux of this manuscript is to establish the existence and uniqueness of solutions for nonlocal fractional evolution equations involving ψ−Caputo fractional derivatives of an arbitrary order α ∈ (0, 1) with nondense domain.
Mfadel Ali El, Melliani Said, Kassidi Abderrazak, Elomari M’hamed   +3 more
doaj   +1 more source

On a nonlinear system of Riemann-Liouville fractional differential equations with semi-coupled integro-multipoint boundary conditions

Open Mathematics, 2021
We study a nonlinear system of Riemann-Liouville fractional differential equations equipped with nonseparated semi-coupled integro-multipoint boundary conditions. We make use of the tools of the fixed-point theory to obtain the desired results, which are
Alsaedi Ahmed, Ahmad Bashir, Alghamdi Badrah, Ntouyas Sotiris K.   +3 more
doaj   +1 more source

On multi-step methods for singular fractional q-integro-differential equations

Open Mathematics, 2021
The objective of this paper is to investigate, by applying the standard Caputo fractional q-derivative of order α\alpha , the existence of solutions for the singular fractional q-integro-differential equation Dqα[k](t)=Ω(t,k1,k2,k3,k4){{\mathcal{D}}}_{q}^
Hajiseyedazizi Sayyedeh Narges, Samei Mohammad Esmael, Alzabut Jehad, Chu Yu-ming   +3 more
doaj   +1 more source

Uniqueness of solutions for a ψ-Hilfer fractional integral boundary value problem with the p-Laplacian operator

Demonstratio Mathematica, 2023
In this article, we discuss the existence of a unique solution to a ψ\psi -Hilfer fractional differential equation involving the pp-Laplacian operator subject to nonlocal ψ\psi -Riemann-Liouville fractional integral boundary conditions.
Alsaedi Ahmed, Alghanmi Madeaha, Ahmad Bashir, Alharbi Boshra   +3 more
doaj   +1 more source

Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains

Nonautonomous Dynamical Systems, 2022
In this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales.
Kumar Vipin, Malik Muslim
doaj   +1 more source

Boundary Value Methods for Caputo Fractional Differential Equations

, 2021
This paper deals with the numerical computation and analysis for Caputo fractional differential equations (CFDEs). By combining the p-order boundary value methods (BVMs) and the m-th Lagrange interpolation, a type of extended BVMs for the CFDEs with γ ...
Yongtao Zhou
semanticscholar   +1 more source