Neutral Functional Sequential Differential Equations With Caputo Fractional Derivative on Time Scales
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Date
2022
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Springernature
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GOLD
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Abstract
In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray-Schauder type and Krasnoselskii fixed point theorem. As applications, two examples are included to show the applicability of our results.
Description
Keywords
Initial Value Problem, Caputo'S Fractional Derivative, Sequential Neutral Functional Differential Equations, Fractional Integral, Fixed Point, Existence, Time Scale, Artificial intelligence, Class (philosophy), Economics, Differential equation, Numerical Methods for Singularly Perturbed Problems, Sequential neutral functional differential equations, Internal medicine, Fractional integral, T57-57.97, Numerical Analysis, Applied mathematics. Quantitative methods, Ecology, Applied Mathematics, Physics, Contraction principle, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Contraction (grammar), Medicine, Uniqueness, Finite Difference Schemes, Type (biology), Financial economics, Caputo’s fractional derivative, Fractional Differential Equations, Existence, Theory and Applications of Fractional Differential Equations, Contraction mapping, Mathematical analysis, Quantum mechanics, FOS: Mathematics, Fixed-point theorem, Functional Differential Equations, Biology, Anomalous Diffusion Modeling and Analysis, QA299.6-433, Banach space, Fractional calculus, Fixed point, Applied mathematics, Computer science, Initial value problem, FOS: Biological sciences, Nonlinear system, Analysis, Mathematics, Fractional ordinary differential equations, Fractional derivatives and integrals, time scale, fixed point, initial value problem, sequential neutral functional differential equations, Caputo's fractional derivative, fractional integral, existence
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Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Lazreg, Jamal Eddine;...et.al. (2022). "Neutral functional sequential differential equations with Caputo fractional derivative on time scales", Fixed Point Theory and Algorithms for Sciences and Engineering, Vol.2022, No.1
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Q3
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OpenCitations Citation Count
5
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Fixed Point Theory and Algorithms for Sciences and Engineering
Volume
2022
Issue
1
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Scopus : 9
SCOPUS™ Citations
9
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6
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4
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