Existence and uniqueness of positive solutions for system of (p, q, r)-Laplacian fractional order boundary value problems

KR Prasad, D Leela, M Khuddush - Advances in the Theory of …, 2021 - dergipark.org.tr
Advances in the Theory of Nonlinear Analysis and its Application, 2021dergipark.org.tr
… Abstract In this paper the existence of unique positive solutions for system of (p, q, r)-Lapalacian
Sturm-Liouville type two-point fractional order boundary vaue problems, … Since the classical
mathematical models are special cases of the fractional order mathematical models, it implies
that the results for the fractional mathematical model are more general and more accurate
[10]. In recent years, there are certain papers and monographs dealing with the existence,
uniqueness, multiple solutions and positive solutions of fractional order nonlinear boundary …
In this paper the existence of unique positive solutions for system of (p,q,r)-Lapalacian Sturm-Liouville type two-point fractional order boundary vaue problems is established by an application of n-fixed point theorem of ternary operators on partially ordered metric spaces.
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