Infinitely many positive solutions for an iterative system of conformable fractional order dynamic boundary value problems on time scales

Authors

MAHAMMAD KHUDDUSH
KAPULA RAJENDRA PRASAD

Abstract

In this paper, we establish infinitely many positive solutions for the iterative system of conformable fractional order dynamic equations on time scales $$ \begin{aligned} &\mathcal{T}_α^{\Delta}\big[\mathcal{T}_β^{\Delta}\big(\vartheta_\mathtt{n}(t)\big)\big]=\varphi(t)\mathtt{f}_\mathtt{n}\left(\vartheta_{\mathtt{n}+1}(t)\right),~t\in(0,1)_\mathbb{T},~1

DOI

10.3906/mat-2103-117

Keywords

Conformable fractional derivative, time scale, positive solution, fixed point theorem, cone

First Page

338

Last Page

359

Recommended Citation

KHUDDUSH, MAHAMMAD and PRASAD, KAPULA RAJENDRA (2022) "Infinitely many positive solutions for an iterative system of conformable fractional order dynamic boundary value problems on time scales," Turkish Journal of Mathematics: Vol. 46: No. 2, Article 1. https://doi.org/10.3906/mat-2103-117
Available at: https://journals.tubitak.gov.tr/math/vol46/iss2/1