Local existence for an impulsive fractional neutral integro-differential system with Riemann–Liouville fractional derivatives in a Banach space

Advances in Difference Equations

Dumitru Baleanu¹  Palaniyappan Kalamani²  Mani Mallika Arjunan² 

[1] Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University;Department of Mathematics, C. B. M. College;

关键词: Fractional differential equations;    Riemann–Liouville fractional derivatives;    Impulsive;   

DOI  :  10.1186/s13662-018-1866-6

来源: DOAJ

【 摘 要 】

Abstract In this manuscript, we investigate a sort of fractional neutral integro-differential equations with impulsive outcomes and extend the formula of general solutions for the impulsive fractional neutral integro-differential system in a Banach space. By using the analysis of the limit case and the operator generating compact semigroup, we derive the main results. Finally, an example is discussed to illustrate the efficiency of the results.

【 授权许可】

Unknown