q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem

نویسندگان

1 University of Mazandaran, Babolsar, Iran.

2 University of Mazandaran, Babolsar, Iran.

doi
10.22034/cmde.2024.58902.2496
چکیده

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 $\rho_{h,e_{1}}$ 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.