Stability analysis for a nonlinear coupled system of fractional hybrid delay differential equations. (15th May 2020)

• Record Type: Journal Article
• Authors: Ahmad, Israr; Shah, Kamal; ur Rahman, Ghaus; Baleanu, Dumitru
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 15(2020)
• Page Start: 8669
• Page End: 8682
• Publication Date: 2020-05-15
• Subjects: coupled system -- FHDDEs -- hybrid fixed point theorem -- stability; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6526
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The main objective of this research work is to establish existence results as well as to study qualitative aspects of the proposed coupled system of fractional hybrid delay differential equations (FHDDEs). Using the hybrid fixed point theory, we establish appropriate results for the existence of at least one solution to our problem. The powerful tools of functional analysis and dynamical systems are applied to derive different kinds of stability analysis. These include Ulam‐Hyers (UH), generalized Ulam‐Hyers (GUH), Ulam‐Hyers‐Rassias (UHR), and generalized Ulam‐Hyers‐Rassias (GUHR). In order to provide the authenticity of the our results, an illustrative example is given to wind up the present research work.