Author:
Kharat Vinod V., ,Tate Shivaji,Reshimkar Anand Rajshekhar, ,
Abstract
"In this paper, we study the existence of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. In the last, results are illustrated with suitable examples."
Reference23 articles.
1. "1. Abbas, S., Benchohra, M., N'Guérékata, G.M., Topics in Fractional Differential Equations, Springer-Verlag, New York, 2012.
2. 2. Abbas, S., Benchohra, M., N'Guérékata, G.M., Advanced Fractional Differential and Integral Equations, Nova Science Publishers, New York, 2015.
3. 3. Agarwal, R.P., Benchohra, M., Hamani, S., A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions, Acta Appl. Math., 109(2010), 973-1033.
4. 4. Anastassiou, G.A., Advances on Fractional Inequalities, Springer, New York, 2011.
5. 5. Baleanu, D., Diethelm, K., Scalas, E., Trujillo, J.J., Fractional Calculus Models and Numerical Methods, World Scientific Publishing, New York, 2012.