Browsing by Author "Belmor, Samiha"

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Citation Count: Belmor, Samiha...et al. (2020). "A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions", Advances in Difference Equations, Vol. 2020, No. 1.
A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions
(2020) Belmor, Samiha; Jarad, Fahd; Abdeljawad, Thabet; Kılın., Gülşen; 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.
Citation Count: Belmor, Samiha; Ravichandran, Chokkalingam; Jarad, Fahd (2021). "Nonlinear generalized fractional differential equations with generalized fractional integral conditions", JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, Vol. 14, No. 1, pp. 114-123.
Nonlinear generalized fractional differential equations with generalized fractional integral conditions
(2021) Belmor, Samiha; Ravichandran, Chokkalingam; Jarad, Fahd; 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 Count: Belmor, Samiha; Jarad, Fahd; Abdeljawad, Thabet (2021). "On Caputo–Hadamard type coupled systems of nonconvex fractional differential inclusions", Advances in Difference Equations, Vol. 2021, No. 1.
On Caputo–Hadamard type coupled systems of nonconvex fractional differential inclusions
(2021) Belmor, Samiha; Jarad, Fahd; Abdeljawad, Thabet; 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 Count: Belmor, Samiha...et al. (2020). "On fractional differential inclusion problems involving fractional order derivative with respect to another function", Fractals, Vol. 28, No. 8.
On fractional differential inclusion problems involving fractional order derivative with respect to another function
(2020) Belmor, Samiha; Jarad, Fahd; Abdeljawad, Thabet; Alqudah, Manar A.; 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 ϕ-weak contractive maps is the main tool in determining our results. An example is presented in aim to illustrate the results.