DJIAB Somia

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DJIAB Somia

جياب سمية

somia.djiab@univ-msila.dz

0674799574

  • Department of Management Sciences
  • Faculty of Economic, Commercial and Management Sciences
  • Grade MAB
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About Me

Location

Msila, Msila

Msila, ALGERIA

  • 1993-03-22 00:00:00

  • DJIAB Somia birthday

  • 2023-01-14
  • 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

    djiab somia , Brahim Nouiri , , (2023-01-14), Nonlinear two conformable fractional differential equation with integral boundary condition, Studia Universitatis Babes-Bolyai, Mathematica, Vol:68, Issue:1, pages:189–202, Studia Universitatis Babes-Bolyai, Mathematica

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  • 2020-12-28
  • 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

    djiab somia , Brahim Nouiri , , (2020-12-28), A new class of mixed fractional differential equations with integral boundary conditions, Moroccan Journal of Pure and Applied Analysis, Vol:7, Issue:2, pages:227–247, Moroccan Journal of Pure and Applied Analysis

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