Research article

Moroccan Journal of Pure and Applied Analysis

, 1:2

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Existence and Stability Results for Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order

  • Mouffak BenchohraAffiliated withLaboratory of Mathematics, University of Sidi Bel-AbbesDepartment of Mathematics, King Abdulaziz University Email author 
  • , Soufyane BouriahAffiliated withDepartment of Mathematics, King Abdulaziz University

Abstract

In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of boundary value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle. Two examples are included to show the applicability of our results.

Key words and phrases

Boundary value conditions Caputo’s fractional derivative implicit fractional differential equations fractional integral existence stability fixed point