Existence of Solution to a Quadratic Functional Integro-Differential Fractional Equation

Authors

  • B. D. Karande Department of Mathematics, Maharashtra Udaygirimahavidyalaya, Udgir, S.R.T.M.U. Nanded, Maharashtra
  • S. N. Kondekar Department of Mathematics, Degloor College Degloor, S.R.T.M.U. Nanded, Maharashtra

DOI:

https://doi.org/10.26713/cma.v11i4.1425

Keywords:

Banach algebras, Integro-Differential equation, Existence result, Locally attractive solution, Extremal solution

Abstract

An algebraic fixed point theorem involving the two operators in a Banach algebra is used to prove the existence of solutions to fractional order quadratic functional integro-differential equation in (\mathcal{R}_+\). Also, we establish the locally attractivity results and extremal solutions along with suitable example.

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Published

31-12-2020
CITATION

How to Cite

Karande, B. D., & Kondekar, S. N. (2020). Existence of Solution to a Quadratic Functional Integro-Differential Fractional Equation. Communications in Mathematics and Applications, 11(4), 635–650. https://doi.org/10.26713/cma.v11i4.1425

Issue

Vol. 11 No. 4 (2020)

Section

Research Article

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