EXISTENCE OF SOLUTIONS FOR NONLINEAR VOLTERRA FREDHOLM INTEGRODIFFERENTIAL EQUATION OF HIGHER ORDER VIA $S$-ITERATION METHOD

Haribhau L. Tidke; Gajanan S. Patil

Haribhau L. Tidke Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India
Gajanan S. Patil Department of Mathematics, PSGVPM’s ASC College, Shahada Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India

Article ID: 2414

Keywords: existence; normal S-iterative method; Volterra-Fredholm integrodifferential equation; continuous dependence; closeness; parameters

Abstract

In this paper, we study the existence and other properties of the solution of the nonlinear Volterra Fredholm integrodifferential equation of higher order. The tool employed in the analysis is based on the application of the $S$-iteration method. Various properties such as dependence on initial data, closeness of solutions and dependence on parameters and functions involved therein are obtained using the $S$-iteration method. Examples are provided in support of findings.

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