Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution
Anwar Shah, Rahmat Ali Khan, Aziz Khan, Hasib Khan, J. F. Gómez‐Aguilar
Abstract
This research work is related to investigate sufficient conditions for existence, uniquely of solution to a coupled system of nonlinear fractional order hybrid differential equations (NFOHDEs). With the help of Burton's fixed point theorem, we develop the required conditions for existence of at least one solution to the considered problem of NFOHDEs.
Topics & Concepts
MathematicsFixed-point theoremNonlinear systemBoundary value problemOrder (exchange)Mathematical analysisWork (physics)Applied mathematicsDifferential equationFractional calculusMechanical engineeringEngineeringFinanceEconomicsQuantum mechanicsPhysicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods