Existence Theorems and Hyers-Ulam Stability for a Class of Hybrid Fractional Differential Equations With P-Laplacian Operator

Khan, HasibTunc, CemilChen, WenKhan, Aziz2025-05-102025-05-1020182156-907X2158-564410.11948/2018.12112-s2.0-85054056726https://doi.org/10.11948/2018.1211https://hdl.handle.net/20.500.14720/6189Khan, Aziz/0000-0001-6185-9394; Khan, Hasib/0000-0002-7186-8435; Tunc, Cemil/0000-0003-2909-8753In 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.eninfo:eu-repo/semantics/openAccessHybrid Fractional Differential EquationsHyers-Ulam StabilityCaputo'S Fractional DerivativeExistence And UniquenessTopological Degree TheoryExistence Theorems and Hyers-Ulam Stability for a Class of Hybrid Fractional Differential Equations With P-Laplacian OperatorArticle84Q3Q112111226WOS:000441583000012