Existence Results for Fractional Evolution Systems With Riemann-Liouville Fractional Derivatives and Nonlocal Conditions
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Abstract
Based on concepts for semigroup theory, fractional calculus, Banach contraction principle and Krasnoselskii fixed point theorem (FPT), this manuscript is principally involved with existence results of Riemann-Liouville (RL) fractional neutral integro-differential systems (FNIDS) with nonlocal conditions (NLCs) in Banach spaces. An example is offered to demonstrate the theoretical concepts.
Description
Mani, Mallika Arjunan/0000-0002-3358-0780; P, Kalamani/0009-0005-7777-6258; Duraisamy, Mallika/0009-0000-7265-8766
Keywords
Fractional Order Integro-Differential Equations, Riemann-Liouville Fractional Derivatives, Fixed Point, Semigroup Theory, Other nonlinear integral equations, Integro-ordinary differential equations, Banach space, fixed point, Fractional derivatives and integrals, fractional order integro-differential equations, semigroup theory, Riemann-Liouville fractional derivatives
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
Kalamani, P...et al. (2017). "Existence results for fractional evolution systems with riemann-liouville fractional derivatives and nonlocal conditions", Fundamenta Informaticae,Vol. 151, No. 1-4, pp. 487-504.
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OpenCitations Citation Count
2
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Volume
151
Issue
1-4
Start Page
487
End Page
504
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CrossRef : 2
Scopus : 4
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