NONLOCAL THREE-POINT MULTI-TERM MULTIVALUED FRACTIONAL-ORDER BOUNDARY VALUE PROBLEMS

Authors

  • A. Alsaedi Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia Author
  • N. Alghamdi Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia Author
  • B. Ahmad Department of Mathematics, Faculty of Science, University of Jeddah, Saudi Arabia Author
  • S.K. Ntouyas Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia Author

Keywords:

Caputo fractional derivatives, existence of solutions, fixed point theorems

Subjects:

34A08, 34B10, 34A60

Abstract

In this paper we study a new kind of boundary value problems of multi-term fractional differential inclusions and three-point nonlocal boundary conditions. The existenceof solutions is established for convex and non-convex multivalued maps by using standard theorems from the fixed point theory. We also construct some examples for demonstrating the application of the main results.

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Published

2020-01-15

Issue

Vol. 72 No. 1 (2020): Vol. 72, Issue 1

Section

Articles

License

Copyright (c) 2020 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.