Existence and Uniqueness Solutions of Multi-Term Delay Caputo Fractional Differential Equations
Gunaseelan Mani, Purushothaman Ganesh, Karnan Chidhambaram, Sarah Aljohani, Nabil Mlaiki
Abstract
This study investigates a novel type of nonlocal boundary value problem with multipoint-integral boundaries and multi-term delay Caputo fractional differential equations (FDE). The provided problem is turned into an analogous fixed-point problem using fixed-point (F P) theory tools. Additionally, discussing about stability, in Ulam-Hyers-Rassias (UHR), Ulam-Hyers (UH), generalized Ulam-Hyers-Rassias (GUHR) and generalized Ulam-Hyers (GUH) stability, for finding the problem. Based on our obtained results we given some examples. As of our obtained results are very useful to multi-term caputo FDE related to hydrodynamics.
Topics & Concepts
UniquenessMathematicsTerm (time)Applied mathematicsDifferential equationFractional calculusMathematical analysisCalculus (dental)PhysicsDentistryMedicineQuantum mechanicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods