On a fractional differential equation with fractional boundary conditions

Document Type : Original Article

Authors

1 Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran,

2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47416- 95447, Iran

Abstract

In this article, we study a new nonlinear Langevin equation of two fractional orders with fractional boundary value conditions which is a generalization of previous Langevin equations. Based on Banach and Schauder fixed point theorems, the existence and uniqueness of solutions of this equation are investigated. Moreover, our hypotheses are simpler than similar works.

Keywords

Main Subjects


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Volume 4, Issue 1
March 2023
Pages 9-17
  • Receive Date: 16 January 2023
  • Revise Date: 20 February 2023
  • Accept Date: 09 March 2023
  • First Publish Date: 09 March 2023