Results 1 to 10 of about 1,363 (174)

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

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

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

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

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

Open 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, Su You-Hui, Sun Ai, Zhu Quanxing   +3 more
doaj   +1 more source

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

Open 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, Patel Deepesh Kumar, Patle Pradip Ramesh, Sen Manuel De La   +3 more
doaj   +1 more source

Existence and Ulam-Hyers stability of the implicit fractional boundary value problem with ψ-Caputo fractional derivative

, 2020
In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative.
Hanan A. Wahash, Mohammed S Abdo, S. K. Panchal   +2 more
semanticscholar   +1 more source

Analysis of Cauchy problem with fractal-fractional differential operators

Demonstratio Mathematica, 2023
Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain, Atangana Abdon, Alkahtani Badr S.   +2 more
doaj   +1 more source

Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control

Nonlinear Engineering, 2016
Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance
Rajagopal Karthikeyan, Karthikeyan Anitha   +1 more
doaj   +1 more source