Existence, Uniqueness and Stability Analysis of a Coupled Fractional-Order Differential Systems Involving Hadamard Derivatives and Associated With Multi-Point Boundary Conditions
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Date
2021
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Publisher
Springer
Open Access Color
GOLD
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Abstract
In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples.
Description
Muthaiah Ph.D, Dr.Subramanian/0000-0001-5281-0935; Zada, Akbar/0000-0002-2556-2806; Samei, Mohammad Esmael/0000-0002-5450-3127; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138
Keywords
Coupled System, Fractional Differential Equations, Hadamard Derivatives, Multi-Point, Integral Boundary Conditions, Fractional differential equations, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Context (archaeology), Differential equation, Numerical Methods for Singularly Perturbed Problems, Coupled system, Machine learning, QA1-939, FOS: Mathematics, Integral boundary conditions, Stability (learning theory), Hadamard derivatives, Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Order (exchange), Numerical Analysis, Applied Mathematics, Paleontology, Partial differential equation, Fixed point, Applied mathematics, Computer science, Boundary Value Problems, Modeling and Simulation, Physical Sciences, Uniqueness, Multi-point, Finite Difference Schemes, Mathematics, Ordinary differential equation, Finance, Nonlinear boundary value problems for ordinary differential equations, Fractional ordinary differential equations, coupled system, Fractional derivatives and integrals, integral boundary conditions, Applications of operator theory to differential and integral equations, fractional differential equations, multi-point, Nonlocal and multipoint boundary value problems for ordinary differential equations
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Subramanian, Muthaiah...et al. (2021). "Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions", Advances in Difference Equations, Vol. 2021, No. 1.
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Q1
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OpenCitations Citation Count
27
Source
Advances in Difference Equations
Volume
2021
Issue
1
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Scopus : 30
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31
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30
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2
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