Existence of solutions for an infinite system of tempered fractional order boundary value problems in the spaces of tempered sequences

Abstract

This paper deals with infinite system of nonlinear two-point tempered fractional order boundary valuee z ϑj(z)) = 0, where j ∈ {1, 2, 3, • • •}, ≥ 0, RL 0 D , z denotes the Riemann-Liouville tempered fractional derivative of order ∈ {δ1, δ2} , ϑ(z) = (ϑj(z)) ∞ j=1 , ϕj : [0, T] → [0, T] are continuous and we derive sufficient conditions for the existence of solutions to the system via the Hausdorff measure of noncompactness and Meir-Keeler fixed point theorem in a tempered sequence spaces.

Multiple Positive Solutions for a System of Fractional Order BVP with p-Laplacian Operators and Parameters

“…The study of positive solutions of fractional order boundary value problems (FBVPs) is a rapidly growing field of research, and new results are being developed all the time [15][16][17][18][19][20][21][22][23][24][25][26][27]. This research has important applications in a variety of fields, including biology, physics, engineering, and finance.…”