A NEW APPROACH TO THE STUDY OF SOLUTIONS FOR A FRACTIONAL BOUNDARY VALUE PROBLEM IN HOLDER SPACES

Authors

  • Z. Ahmadi Ph.D candidate at University of Sistan and Baluchestan
  • Rahmatollah Lashkaripour Dept. of Mathematics, University of Sistan and Baluchestan
  • S. Heidartkhani Dept. of Mathematics, Razi University

Keywords:

Caputo's fractional derivative, boundary value problem, fractional equation, nontrivial solution, fixed point

Abstract

In this paper, we study the existence of nontrivial solutionsfor a fractional boundary value problem in Holder spaces by a technicalapproach based on Leray-Schauder nonlinear alternative. Moreover,using the concept of orthogonal set on Banach xed point theorem weobtain another existence result with weaker conditions. Also, recentresults are extended and improved. In addition, we give some examplesto illustrate the feasibility and eectiveness of our results.

Author Biography

Rahmatollah Lashkaripour, Dept. of Mathematics, University of Sistan and Baluchestan

Dept. of Mathematics

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Published

2021-11-01

Issue

Vol. 16

Section

Vol. 16, No. 3, (2022)

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