M. SOMIA Djiab - Researcher Profile

Department

Department of Management Sciences

Research Interests

Specialized in Department of Management Sciences. Focused on academic and scientific development.

Contact Info

University of M'Sila, Algeria

Email : somia.djiab@univ-msila.dz

On the Web:

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Recent Publications

2023-01-14

Nonlinear two conformable fractional differential equation with integral boundary condition

This paper deals with a boundary value problem for a nonlinear differential equation with two conformable fractional derivatives and integral boundary conditions. the results of existence, uniqueness and stability of positive solutions are proved by using the Banach contraction principle, Guo-Krasnoselskii's fixed point theorem and Hyers-Ulam type stability. Two concrete examples are given to illustrate the main results.

Citation

M. SOMIA Djiab, (2023-01-14), "Nonlinear two conformable fractional differential equation with integral boundary condition", [national] Studia Universitatis Babes-Bolyai, Mathematica , Studia Universitatis Babes-Bolyai, Mathematica

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2020-12-28

A new class of mixed fractional differential equations with integral boundary conditions

This paper deals with a new class of mixed fractional differential equations with integral boundary conditions. We show an important equivalence result between our problem and nonlinear integral
Fredholm equation of the second kind. The existence and uniqueness of a positive solution are proved using Guo-Krasnoselskii’s fixed point theorem and Banach’s contraction mapping principle. Different types of
Ulam-Hyers stability are discussed. Three examples are also given to show the applicability of our results.

Citation

M. SOMIA Djiab, (2020-12-28), "A new class of mixed fractional differential equations with integral boundary conditions", [national] Moroccan Journal of Pure and Applied Analysis , Moroccan Journal of Pure and Applied Analysis

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