On the solutions to a generalized fractional Cauchy problem

Applicable Analysis and Discrete Mathematics

article

Barbara Łupińska¹  Tatiana Odzijewicz²  Ewa Schmeidel¹ 

[1] Faculty of Mathematics and Computer Science, University of Bialystok Poland;Department of Mathematics and Mathematical Economics, Warsaw School of Economics Poland

关键词: Fractional calculus;    fractional Cauchy problem;   

DOI  :  10.2298/AADM161005023L

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

We show the existence and uniqueness of solutions to the fractional nonlinearCauchy problem containing Katugampola derivative. Moreover, in the linearcase, we give a formula for the solution.

【 授权许可】

Unknown