q-Exponential Fixed Point Theorem for Mixed Monotone Operator with q-Fractional Problem

Document Type : Research Paper

Authors

University of Mazandaran, Babolsar, Iran.

Abstract

In this work, we examine the existence and uniqueness(EU) of q-Exponential positive solution
(q-EPS) of the hybrid q-fractional boundary value problem (q-FBVP).
We prove the q-Exponential fixed point theorem (q-EFPT) with a new set ρh,e1
in the Banach
space E to check the EU of q-EPS of the q-FBVP. In the long run, an exemplum is given to
show the correctness of our results.

Keywords

Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 28 April 2024
  • Receive Date: 20 October 2023
  • Revise Date: 15 March 2024
  • Accept Date: 21 April 2024