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Ravichandran, C. and Baleanu, D. (2013) Existence Results for Fractional Neutral Functional Integro-Differential Evolution Equations with Infinite Delay in Banach Spaces. Advances in Difference Equations, 2013, 1-12.
https://doi.org/10.1186/1687-1847-2013-215

has been cited by the following article:

• TITLE: On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation

  AUTHORS: Rui Li, Wei Jiang, Jiale Sheng, Sen Wang

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

  JOURNAL NAME: Applied Mathematics, Vol.11 No.10, October 28, 2020

  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.