Investigation of the generalized proportional langevin and sturm-liouville fractional differential equations via variable coefficients and antiperiodic boundary conditions with a Control Theory Application Arising from Complex Networks

Document Type

Article

Publication Date

4-1-2022

Abstract

This article studies the existence theory of an innovation type of generalized proportional fractional differential equations with the assistance of the technique of Kuratowski measure on noncompactness combined with the fixed-point theorem of Monch. Also, we use Lebesgue's dominated convergence theorem and Arzela-Ascoli fixed point theorem on existence and uniqueness results. An application is also presented by employing two illustrative iks, which enrich our outcomes.

Keywords

Generalized Proportional Langevin, Sturm-Liouville, Antiperiodic Boundary

Divisions

MathematicalSciences

Funders

None

Publication Title

Mathematical Problems in Engineering

Volume

2022

Publisher

Mathematical Problems in Engineering

Publisher Location

ADAM HOUSE, 3RD FLR, 1 FITZROY SQ, LONDON, W1T 5HF, ENGLAND

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