Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

Ahmad Y. A. Salamoonı; D.d. Pawar

doi:10.32323/ujma.756304

EN

Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

Abstract

In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation. Also, we prove an equivalence between the Cauchy-type problem and Volterra integral equation(VIE).

Keywords

Generalized Fractional Cauchy-type problem, Existence and uniqueness, Hilfer-Hadamard-type fractional derivative

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ahmad Y. A. Salamoonı ^*
India

D.d. Pawar
India

Publication Date

September 29, 2020

Submission Date

June 22, 2020

Acceptance Date

September 22, 2020

Published in Issue

Year 2020 Volume: 3 Number: 3

DOI

https://doi.org/10.32323/ujma.756304

IZ

https://izlik.org/JA85XH74LH

APA

Salamoonı, A. Y. A., & Pawar, D. (2020). Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem. Universal Journal of Mathematics and Applications, 3(3), 121-128. https://doi.org/10.32323/ujma.756304

AMA

1.Salamoonı AYA, Pawar D. Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem. Univ. J. Math. Appl. 2020;3(3):121-128. doi:10.32323/ujma.756304

Chicago

Salamoonı, Ahmad Y. A., and D.d. Pawar. 2020. “Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem”. Universal Journal of Mathematics and Applications 3 (3): 121-28. https://doi.org/10.32323/ujma.756304.

EndNote

Salamoonı AYA, Pawar D (September 1, 2020) Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem. Universal Journal of Mathematics and Applications 3 3 121–128.

IEEE

[1]A. Y. A. Salamoonı and D. Pawar, “Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem”, Univ. J. Math. Appl., vol. 3, no. 3, pp. 121–128, Sept. 2020, doi: 10.32323/ujma.756304.

ISNAD

Salamoonı, Ahmad Y. A. - Pawar, D.d. “Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem”. Universal Journal of Mathematics and Applications 3/3 (September 1, 2020): 121-128. https://doi.org/10.32323/ujma.756304.

JAMA

1.Salamoonı AYA, Pawar D. Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem. Univ. J. Math. Appl. 2020;3:121–128.

MLA

Salamoonı, Ahmad Y. A., and D.d. Pawar. “Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem”. Universal Journal of Mathematics and Applications, vol. 3, no. 3, Sept. 2020, pp. 121-8, doi:10.32323/ujma.756304.

Vancouver

1.Ahmad Y. A. Salamoonı, D.d. Pawar. Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem. Univ. J. Math. Appl. 2020 Sep. 1;3(3):121-8. doi:10.32323/ujma.756304