On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation - Applied Mathematics

AM > Vol.11 No.10, October 2020

Applied Mathematics

Volume 11, Issue 10 (October 2020)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation ()

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DOI: 10.4236/am.2020.1110069 643 Downloads 1,749 Views Citations

Author(s)

Rui Li, Wei Jiang, Jiale Sheng, Sen Wang

Affiliation(s)

School of Mathematical Sciences, Anhui University, Hefei, China.

ABSTRACT

In this paper, we investigate the nonlinear neutral fractional integral-differential equation involving conformable fractional derivative and integral. First of all, we give the form of the solution by lemma. Furthermore, existence results for the solution and sufficient conditions for uniqueness solution are given by the Leray-Schauder nonlinear alternative and Banach contraction mapping principle. Finally, an example is provided to show the application of results.

KEYWORDS

Conformable Fractional Derivative, Delay, Existence and Uniqueness, Functional Differential Equation

Share and Cite:

Li, R. , Jiang, W. , Sheng, J. and Wang, S. (2020) On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation. Applied Mathematics, 11, 1041-1051. doi: 10.4236/am.2020.1110069.

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