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Acta Mathematica Scientia

, Volume 39, Issue 4, pp 927–944 | Cite as

A Study of a Fully Coupled Two-Parameter System of Sequential Fractional Integro-Differential Equations with Nonlocal Integro-Multipoint Boundary Conditions

  • Ahmed Alsaedi
  • Bashir Ahmad
  • Shorog Aljoudi
  • Sotiris K. NtouyasEmail author
Article
  • 31 Downloads

Abstract

In this article, we discuss the existence and uniqueness of solutions for a coupled two-parameter system of sequential fractional integro-differential equations supplemented with nonlocal integro-multipoint boundary conditions. The standard tools of the fixed-point theory are employed to obtain the main results. We emphasize that our results are not only new in the given configuration, but also correspond to several new special cases for specific values of the parameters involved in the problem at hand.

Key words

Coupled system sequential fractional derivative multi-point integral boundary conditions existence 

2010 MR Subject Classification

34A08 34B15 

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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  • Ahmed Alsaedi
    • 1
  • Bashir Ahmad
    • 1
  • Shorog Aljoudi
    • 1
  • Sotiris K. Ntouyas
    • 1
    • 2
    Email author
  1. 1.Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  2. 2.Department of MathematicsUniversity of IoanninaIoanninaGreece

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