Browsing by Author "Belmor, Samiha"

Now showing 1 - 4 of 4

Citation - WoS: 54
Citation - Scopus: 57
Nonlinear Generalized Fractional Differential Equations With Generalized Fractional Integral Conditions
(Taylor & Francis Ltd, 2020) Ravichandran, Chokkalingam; Jarad, Fahd; Belmor, Samiha; 234808
This research work is dedicated to an investigation of the existence and uniqueness of a class of nonlinear psi-Caputo fractional differential equation on a finite interval , equipped with nonlinear psi-Riemann-Liouville fractional integral boundary conditions of different orders , we deal with a recently introduced psi-Caputo fractional derivative of order . The formulated problem will be transformed into an integral equation with the help of Green function. A full analysis of existence and uniqueness of solutions is proved using fixed point theorems: Leray-Schauder nonlinear alternative, Krasnoselskii and Schauder's fixed point theorems, Banach's and Boyd-Wong's contraction principles. We show that this class generalizes several other existing classes of fractional-order differential equations, and therefore the freedom of choice of the standard fractional operator. As an application, we provide an example to demonstrate the validity of our results.
Citation - WoS: 6
Citation - Scopus: 7
On Caputo-Hadamard Type Coupled Systems of Nonconvex Fractional Differential Inclusions
(Springer, 2021) Abdeljawad, Thabet; Belmor, Samiha; Jarad, Fahd; 234808
This research article is mainly concerned with the existence of solutions for a coupled Caputo-Hadamard of nonconvex fractional differential inclusions equipped with boundary conditions. We derive our main result by applying Mizoguchi-Takahashi's fixed point theorem with the help of P-function characterizations.
Citation - WoS: 16
Citation - Scopus: 16
On Fractional Differential Inclusion Problems Involving Fractional Order Derivative With Respect To Another Function
(World Scientific Publ Co Pte Ltd, 2020) Abdeljawad, T.; Alqudah, Manar A.; Belmor, Samiha; Jarad, F.; 234808
In this research work, we investigate the existence of solutions for a class of nonlinear boundary value problems for fractional-order differential inclusion with respect to another function. Endpoint theorem for phi-weak contractive maps is the main tool in determining our results. An example is presented in aim to illustrate the results.
Citation - WoS: 12
Citation - Scopus: 13
A Study of Boundary Value Problem for Generalized Fractional Differential Inclusion Via Endpoint Theory for Weak Contractions
(Springer, 2020) Abdeljawad, Thabet; Kilinc, Gulsen; Belmor, Samiha; Jarad, Fahd; 234808
This note is concerned with establishing the existence of solutions to a fractional differential inclusion of a psi -Caputo-type with a nonlocal integral boundary condition. Using the concept of the endpoint theorem for phi -weak contractive maps, we investigate the existence of solutions to the proposed problem. An example is provided at the end to clarify the theoretical result.