Some Results on Fractional Differential Equation With Mixed Boundary Condition via S-Iteration

Authors

DOI:

https://doi.org/10.26713/cma.v13i2.1802

Keywords:

Existence and uniqueness, S-iterative method, Fractional derivative, Continuous dependence, Closeness, Parameters, Boundary value problem

Abstract

The present paper discuss the existence, uniqueness and other properties of solutions of nonlinear differential equation of fractional order involving the Caputo fractional derivative with mixed boundary condition. The analysis of obtained results is based on application of S-iteration method. Since the study of qualitative properties in general required differential and integral inequalities, but here S-iteration method itself has equally important contribution to study various properties such as dependence on boundary data, closeness of solutions and dependence on parameters and functions involved therein. The results obtained are illustrated through example.

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Published

17-08-2022
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How to Cite

Tidke, H. L., & Patil, G. S. . (2022). Some Results on Fractional Differential Equation With Mixed Boundary Condition via S-Iteration. Communications in Mathematics and Applications, 13(2), 507–527. https://doi.org/10.26713/cma.v13i2.1802

Issue

Vol. 13 No. 2 (2022)

Section

Research Article

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