Local Existence for an Impulsive Fractional Neutral Integro-Differential System With Riemann-Liouville Fractional Derivatives in a Banach Space
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Date
2018
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Pushpa Publishing House
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GOLD
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Abstract
In this manuscript, we investigate a sort of fractional neutral integro-differential equations with impulsive outcomes and extend the formula of general solutions for the impulsive fractional neutral integro-differential system in a Banach space. By using the analysis of the limit case and the operator generating compact semigroup, we derive the main results. Finally, an example is discussed to illustrate the efficiency of the results.
Description
P, Kalamani/0009-0005-7777-6258; Mani, Mallika Arjunan/0000-0002-3358-0780
Keywords
Fractional Differential Equations, Riemann-Liouville Fractional Derivatives, Impulsive, Impulsive, Fractional differential equations, Fractional Differential Equations, Semigroup, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, Numerical Methods for Singularly Perturbed Problems, Analytic semigroup, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, C0-semigroup, Numerical Analysis, Impulsive Differential Equations, Banach space, Applied Mathematics, Fractional calculus, Pure mathematics, Linguistics, Limit (mathematics), FOS: Philosophy, ethics and religion, Fractional Derivatives, Philosophy, Modeling and Simulation, Physical Sciences, FOS: Languages and literature, Riemann–Liouville fractional derivatives, Mathematics, Ordinary differential equation, Fractional ordinary differential equations, impulsive, Fractional derivatives and integrals, fractional differential equations, Functional-differential equations with fractional derivatives, Riemann-Liouville fractional derivatives
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Kalamani, Palaniyappan; Baleanu, Dumitru; Arjunan, Mani Mallika (2018).
Local existence for an impulsive fractional neutral integro-differential system with Riemann-Liouville fractional derivatives in a Banach space, Advances in Difference Equations.
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OpenCitations Citation Count
12
Source
Advances in Difference Equations
Volume
2018
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CrossRef : 8
Scopus : 17
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Mendeley Readers : 1
SCOPUS™ Citations
17
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Web of Science™ Citations
11
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1
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