Some Results on Fractional IntegroDifferential Equations with Nonlocal Integral
Boundary Conditions of Riemann-Liouville
Type

C.Kamaleshwari; S. Hemalatha; P. Manimekalai

doi:https://doi.org/10.14445/22315373/IJMTT-V60P540

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 4 | Year 2018 | Article Id. IJMTT-V60P540 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P540

Some Results on Fractional IntegroDifferential Equations with Nonlocal Integral Boundary Conditions of Riemann-Liouville Type

C.Kamaleshwari , S. Hemalatha, P. Manimekalai

Abstract

In this paper, we discuss about the existence and uniqueness of solutions for the fractional integrodifferential equations with nonlocal integral boundary conditions of Riemann- Liouville Type. Existence result is based on Krasnoselskii’s fixed point theorem and the uniqueness result is based on the contraction mapping principle.

Keywords

Fractional Differential Equation, Nonlocal integral boundary conditions, Existence, Banach Contraction Principle, Fixed point.

References

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Citation :

C.Kamaleshwari , S. Hemalatha, P. Manimekalai, "Some Results on Fractional IntegroDifferential Equations with Nonlocal Integral Boundary Conditions of Riemann-Liouville Type," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 4, pp. 276-281, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P540