Dynamics and stability results for impulsive type integro-differential equations with generalized fractional derivative

Volume 4, Issue 1, pp 1--12 http://dx.doi.org/10.22436/mns.04.01.01
Publication Date: August 07, 2019 Submission Date: September 22, 2017 Revision Date: January 29, 2019 Accteptance Date: January 30, 2019

Authors

D. Vivek - Department of Mathematics, P.S.G. College of Arts and Science, Coimbatore-641 014, India. E. M. Elsayed - Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. K. Kanagarajan - Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641 020, India.


Abstract

In this paper, we investigate the existence, uniqueness, and Ulam stability of solutions for impulsive type integro-differential equations with generalized fractional derivative. The arguments are based upon the Banach contraction principle and Schaefer's fixed point theorem. \begin{keyword}Integro-differential equations \sep impulsive differential equations \sep generalized fractional derivative \sep existence \sep Ulam-Hyers stablity. \MSC{26A33\sep 34D10\sep 45N05.}


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ISRP Style

D. Vivek, E. M. Elsayed, K. Kanagarajan, Dynamics and stability results for impulsive type integro-differential equations with generalized fractional derivative, Mathematics in Natural Science, 4 (2019), no. 1, 1--12

AMA Style

Vivek D., Elsayed E. M., Kanagarajan K., Dynamics and stability results for impulsive type integro-differential equations with generalized fractional derivative. Math. Nat. Sci. (2019); 4(1):1--12

Chicago/Turabian Style

Vivek, D., Elsayed, E. M., Kanagarajan, K.. "Dynamics and stability results for impulsive type integro-differential equations with generalized fractional derivative." Mathematics in Natural Science, 4, no. 1 (2019): 1--12


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