Existence Theorems and Hyers-Ulam Stability for a Class of Hybrid Fractional Differential Equations With P-Laplacian Operator
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Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Wilmington Scientific Publisher, Llc
Abstract
In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS) as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) with p-Laplacian operator. For these aims, we take help from topological degree theory and Leray Schauder-type fixed point theorem. An example is provided to illustrate the results.
Description
Khan, Aziz/0000-0001-6185-9394; Khan, Hasib/0000-0002-7186-8435; Tunc, Cemil/0000-0003-2909-8753
Keywords
Hybrid Fractional Differential Equations, Hyers-Ulam Stability, Caputo'S Fractional Derivative, Existence And Uniqueness, Topological Degree Theory
Turkish CoHE Thesis Center URL
WoS Q
Q3
Scopus Q
Q1
Source
Volume
8
Issue
4
Start Page
1211
End Page
1226