Results 1 to 10 of about 486 (149)

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

open access: yesAdvances 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   +4 more
doaj   +2 more sources

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

open access: yesAdvances in Mathematical Physics, Volume 2020, Issue 1, 2020., 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   +3 more
semanticscholar   +2 more sources

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

open access: yesDifferential 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   +2 more
semanticscholar   +1 more source

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

open access: yesIJISCS (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

open access: yesNonautonomous 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   +3 more
doaj   +1 more source

Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems

open access: yesOpen Mathematics, 2021
This work intends to treat the existence of mild solutions for the Hilfer fractional hybrid differential equation (HFHDE) with linear perturbation of first and second type in partially ordered Banach spaces. First, we establish the results concerning the
Gabeleh Moosa   +3 more
doaj   +1 more source

Existence and simulation of positive solutions for m-point fractional differential equations with derivative terms

open access: yesOpen Mathematics, 2021
In this article, we investigate the existence of positive solutions for a class of mm-point fractional differential equations whose nonlinear terms involve derivatives.
Sun Wenchao   +3 more
doaj   +1 more source

Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractional q-integro-differential equation via numerical technique

open access: yesNonlinear Engineering, 2022
This article discusses the stability results for solution of a fractional q-integro-differential problem via integral conditions. Utilizing the Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results.
Yue Xiao-Guang   +4 more
doaj   +1 more source

Multiplicity solutions for a class of p-Laplacian fractional differential equations via variational methods

open access: yesOpen Mathematics, 2022
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
doaj   +1 more source

Boundary Value Methods for Caputo Fractional Differential Equations

open access: yes, 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

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