MILD SOLUTIONS OF COUPLED HYBRID FRACTIONAL ORDER SYSTEM WITH CAPUTO–HADAMARD DERIVATIVES
Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad, Aziz Khan, J. F. Gómez‐Aguilar
Abstract
This paper is devoted to prove the existence of mild solutions of coupled hybrid fractional order system with Caputo–Hadamard derivatives using Dhage fixed point theorem in Banach algebras. In order to confirm the applicability of obtained result an example is also presented.
Topics & Concepts
Hadamard transformOrder (exchange)MathematicsFractional calculusFixed-point theoremApplied mathematicsPure mathematicsMathematical analysisEconomicsFinanceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods