A non-linear fractional neutral dynamic equations: existence and stability results on time scales

Author:

Nisar Kottakkaran Sooppy1,Anusha C.2,Ravichandran C.2

Affiliation:

1. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi Arabia

2. Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641029, India

Abstract

<abstract><p>The outcomes of a nonlinear fractional neutral dynamic equation with initial conditions on time scales are examined in this work using the Riemann-Liouville nabla ($ \nabla $) derivative. The existence, uniqueness, and stability results for the solution are examined by using standard fixed point techniques. For the result illustration, an example is given along with the graph using MATLAB.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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