Coupled Systems of Sequential Caputo and Hadamard Fractional Differential Equations with Coupled Separated Boundary Conditions
Open Access
Abstract
This paper studies the existence and uniqueness of solutions for a new coupled system of nonlinear sequential Caputo and Hadamard fractional differential equations with coupled separated boundary conditions, which include as special cases the well-known symmetric boundary conditions. Banach’s contraction principle, Leray–Schauder’s alternative, and Krasnoselskii’s fixed-point theorem were used to derive the desired results, which are well-illustrated with examples.Keywords
Funding Information
- King Mongkut's University of Technology North Bangkok (KMUTNB-60-ART-062)
This publication has 18 references indexed in Scilit:
- Monotone iterative method for a class of nonlinear fractional differential equations on unbounded domains in Banach spacesFilomat, 2017
- A delay fractional order model for the co-infection of malaria and HIV/AIDSInternational Journal of Dynamics and Control, 2016
- Dynamic analysis of time fractional order phytoplankton–toxic phytoplankton–zooplankton systemEcological Modelling, 2015
- Higher Order and Fractional Diffusive EquationsJournal of Engineering Science and Technology Review, 2015
- On a System of Fractional Differential Equations with Coupled Integral Boundary ConditionsFractional Calculus and Applied Analysis, 2015
- Analysis of fractional order differential coupled systemsMathematical Methods in the Applied Sciences, 2014
- Chaos synchronization in fractional differential systemsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013
- LMI-based stabilization of a class of fractional-order chaotic systemsNonlinear Dynamics, 2013
- The random walk's guide to anomalous diffusion: a fractional dynamics approachPhysics Reports, 2000
- On the Appearance of the Fractional Derivative in the Behavior of Real MaterialsJournal of Applied Mechanics, 1984