Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions

Murugaiya Janaki; Kuppusamy Kanagarajan; Elsayed Mohammed Elsayed

doi:10.33187/jmsm.434266

EN

Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions

Abstract

In this paper, we consider the existence and uniqueness of solutions to the impulsive differential equations with inclusions involving Katugampola fractional derivative. With the help of properties of Katugampola fractional calculus and fixed point methods, we derive existence and uniqueness results. Finally, an example is given to illustrate our theoretical results.

Keywords

Katugampola fractional derivative,Diﬀerential inclusion,Impulses; Existence,Uniqueness; Fixed point.

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Murugaiya Janaki
India

Kuppusamy Kanagarajan
India

Elsayed Mohammed Elsayed
Saudi Arabia

Publication Date

April 20, 2019

Submission Date

June 17, 2018

Acceptance Date

September 20, 2018

Published in Issue

Year 2019 Volume: 2 Number: 1

DOI

https://doi.org/10.33187/jmsm.434266

IZ

https://izlik.org/JA25PL24LR

APA

Janaki, M., Kanagarajan, K., & Elsayed, E. M. (2019). Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions. Journal of Mathematical Sciences and Modelling, 2(1), 51-63. https://doi.org/10.33187/jmsm.434266

AMA

1.Janaki M, Kanagarajan K, Elsayed EM. Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions. Journal of Mathematical Sciences and Modelling. 2019;2(1):51-63. doi:10.33187/jmsm.434266

Chicago

Janaki, Murugaiya, Kuppusamy Kanagarajan, and Elsayed Mohammed Elsayed. 2019. “Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations With Inclusions”. Journal of Mathematical Sciences and Modelling 2 (1): 51-63. https://doi.org/10.33187/jmsm.434266.

EndNote

Janaki M, Kanagarajan K, Elsayed EM (April 1, 2019) Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions. Journal of Mathematical Sciences and Modelling 2 1 51–63.

IEEE

[1]M. Janaki, K. Kanagarajan, and E. M. Elsayed, “Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions”, Journal of Mathematical Sciences and Modelling, vol. 2, no. 1, pp. 51–63, Apr. 2019, doi: 10.33187/jmsm.434266.

ISNAD

Janaki, Murugaiya - Kanagarajan, Kuppusamy - Elsayed, Elsayed Mohammed. “Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations With Inclusions”. Journal of Mathematical Sciences and Modelling 2/1 (April 1, 2019): 51-63. https://doi.org/10.33187/jmsm.434266.

JAMA

1.Janaki M, Kanagarajan K, Elsayed EM. Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions. Journal of Mathematical Sciences and Modelling. 2019;2:51–63.

MLA

Janaki, Murugaiya, et al. “Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations With Inclusions”. Journal of Mathematical Sciences and Modelling, vol. 2, no. 1, Apr. 2019, pp. 51-63, doi:10.33187/jmsm.434266.

Vancouver

1.Murugaiya Janaki, Kuppusamy Kanagarajan, Elsayed Mohammed Elsayed. Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions. Journal of Mathematical Sciences and Modelling. 2019 Apr. 1;2(1):51-63. doi:10.33187/jmsm.434266

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