Browsing by Author "Belmor, Samiha"

Now showing 1 - 4 of 4

Citation - WoS: 11
Citation - Scopus: 12
A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions
(Springer, 2020) Belmor, Samiha; Jarad, Fahd; Abdeljawad, Thabet; Kilinc, Gulsen; 234808; Matematik
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.
Citation - WoS: 52
Citation - Scopus: 55
Nonlinear generalized fractional differential equations with generalized fractional integral conditions
(Taylor & Francis Ltd, 2020) Belmor, Samiha; Ravichandran, Chokkalingam; Jarad, Fahd; 234808; Matematik
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: 5
Citation - Scopus: 6
On Caputo–Hadamard type coupled systems of nonconvex fractional differential inclusions
(Springer, 2021) Belmor, Samiha; Jarad, Fahd; Abdeljawad, Thabet; 234808; Matematik
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: 15
Citation - Scopus: 15
On fractional differential inclusion problems involving fractional order derivative with respect to another function
(World Scientific Publ Co Pte Ltd, 2020) Belmor, Samiha; Jarad, F.; Abdeljawad, T.; Alqudah, Manar A.; 234808; Matematik
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.