Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses

Ravichandran Vıvek; Kangarajan K.; Dvivek Vivek; Elsayed Elsayed

doi:10.33434/cams.1257750

EN

Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses

Abstract

This paper deals with the existence, uniqueness, and Ulam-stability outcomes for $\Xi$-Hilfer fractional fuzzy differential equations with impulse. Further, by using the techniques of nonlinear functional analysis, we study the Ulam-Hyers-Rassias stability.

Keywords

Existence, Fuzzy impulsive differential equation, $\Xi$-Hilfer fractional derivative, Uniqueness, Ulam-Hyers-Rassias stability

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ravichandran Vıvek This is me
0000-0002-1451-0875
India

Kangarajan K.
0000-0001-5556-2658
India

Dvivek Vivek
0000-0003-0951-8060
Egypt

Elsayed Elsayed ^*
0000-0003-0894-8472
Saudi Arabia

Early Pub Date

September 12, 2023

Publication Date

September 17, 2023

Submission Date

February 28, 2023

Acceptance Date

July 25, 2023

Published in Issue

Year 2023 Volume: 6 Number: 3

DOI

https://doi.org/10.33434/cams.1257750

IZ

https://izlik.org/JA63BD67UL

APA

Vıvek, R., K., K., Vivek, D., & Elsayed, E. (2023). Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses. Communications in Advanced Mathematical Sciences, 6(3), 115-127. https://doi.org/10.33434/cams.1257750

AMA

1.Vıvek R, K. K, Vivek D, Elsayed E. Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses. Communications in Advanced Mathematical Sciences. 2023;6(3):115-127. doi:10.33434/cams.1257750

Chicago

Vıvek, Ravichandran, Kangarajan K., Dvivek Vivek, and Elsayed Elsayed. 2023. “Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations With Impulses”. Communications in Advanced Mathematical Sciences 6 (3): 115-27. https://doi.org/10.33434/cams.1257750.

EndNote

Vıvek R, K. K, Vivek D, Elsayed E (September 1, 2023) Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses. Communications in Advanced Mathematical Sciences 6 3 115–127.

IEEE

[1]R. Vıvek, K. K., D. Vivek, and E. Elsayed, “Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses”, Communications in Advanced Mathematical Sciences, vol. 6, no. 3, pp. 115–127, Sept. 2023, doi: 10.33434/cams.1257750.

ISNAD

Vıvek, Ravichandran - K., Kangarajan - Vivek, Dvivek - Elsayed, Elsayed. “Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations With Impulses”. Communications in Advanced Mathematical Sciences 6/3 (September 1, 2023): 115-127. https://doi.org/10.33434/cams.1257750.

JAMA

1.Vıvek R, K. K, Vivek D, Elsayed E. Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses. Communications in Advanced Mathematical Sciences. 2023;6:115–127.

MLA

Vıvek, Ravichandran, et al. “Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations With Impulses”. Communications in Advanced Mathematical Sciences, vol. 6, no. 3, Sept. 2023, pp. 115-27, doi:10.33434/cams.1257750.

Vancouver

1.Ravichandran Vıvek, Kangarajan K., Dvivek Vivek, Elsayed Elsayed. Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses. Communications in Advanced Mathematical Sciences. 2023 Sep. 1;6(3):115-27. doi:10.33434/cams.1257750

Cited By

Some results on the study of -Hilfer type fuzzy fractional differential equations with time delay

Proceedings of International Mathematical Sciences

https://doi.org/10.47086/pims.1168552

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