Research Article

On Fuzzy Differential Equations with Finite Delay via $\psi$-type Riemann-Liouville Fractional Derivative

Volume: 5 Number: 1 March 17, 2022
Dvivek Vivek , Elsayed Elsayed *, Kangarajan K.
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Communications in Advanced Mathematical Sciences Cover Communications in Advanced Mathematical Sciences
EN

On Fuzzy Differential Equations with Finite Delay via $\psi$-type Riemann-Liouville Fractional Derivative

Abstract

In the article, the existence of a solution for a class of boundary value problem for a fuzzy differential equation with finite delay is discussed. By applying the contraction mapping principle, we gain an existence of a solution.

Keywords

Existence, Fuzzy differential equations, Fuzzy solution, ψ-fractional derivative

References

  1. [1] R. P. Agarwal, V. Lakshmikantham, J. J. Nieto, On the concept of solution for fractional differential equations with uncertainty, Nonlinear Anal., 72(2010), 2859-2862.
  2. [2] J. U. Jeong, Existence results for fractional order Fuzzy differential equations with infinite delay, Int. Math. Forum, 5 (2010), 3221-3230.
  3. [3] H. Wang, Y. Liu, Existence results for fractional Fuzzy differential equations with finite delay, Int. Math. Forum, 6 (2011), 2535-2538.
  4. [4] R. Almeida, A Caputo fractional derivative of a function with respect to another function, Commun. Nonlinear Sci. Numer. Simul., 44 (2017), 460-481.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

March 17, 2022

Submission Date

July 5, 2021

Acceptance Date

December 21, 2021

Published in Issue

Year 2022 Volume: 5 Number: 1

DOI

https://doi.org/10.33434/cams.962877

IZ

https://izlik.org/JA57AE73CT

Cite

RIS / Bibtex
APA
Vivek, D., Elsayed, E., & K., K. (2022). On Fuzzy Differential Equations with Finite Delay via $\psi$-type Riemann-Liouville Fractional Derivative. Communications in Advanced Mathematical Sciences, 5(1), 8-11. https://doi.org/10.33434/cams.962877
AMA
1.Vivek D, Elsayed E, K. K. On Fuzzy Differential Equations with Finite Delay via $\psi$-type Riemann-Liouville Fractional Derivative. Communications in Advanced Mathematical Sciences. 2022;5(1):8-11. doi:10.33434/cams.962877
Chicago
Vivek, Dvivek, Elsayed Elsayed, and Kangarajan K. 2022. “On Fuzzy Differential Equations With Finite Delay via $\psi$-Type Riemann-Liouville Fractional Derivative”. Communications in Advanced Mathematical Sciences 5 (1): 8-11. https://doi.org/10.33434/cams.962877.
EndNote
Vivek D, Elsayed E, K. K (March 1, 2022) On Fuzzy Differential Equations with Finite Delay via $\psi$-type Riemann-Liouville Fractional Derivative. Communications in Advanced Mathematical Sciences 5 1 8–11.
IEEE
[1]D. Vivek, E. Elsayed, and K. K., “On Fuzzy Differential Equations with Finite Delay via $\psi$-type Riemann-Liouville Fractional Derivative”, Communications in Advanced Mathematical Sciences, vol. 5, no. 1, pp. 8–11, Mar. 2022, doi: 10.33434/cams.962877.
ISNAD
Vivek, Dvivek - Elsayed, Elsayed - K., Kangarajan. “On Fuzzy Differential Equations With Finite Delay via $\psi$-Type Riemann-Liouville Fractional Derivative”. Communications in Advanced Mathematical Sciences 5/1 (March 1, 2022): 8-11. https://doi.org/10.33434/cams.962877.
JAMA
1.Vivek D, Elsayed E, K. K. On Fuzzy Differential Equations with Finite Delay via $\psi$-type Riemann-Liouville Fractional Derivative. Communications in Advanced Mathematical Sciences. 2022;5:8–11.
MLA
Vivek, Dvivek, et al. “On Fuzzy Differential Equations With Finite Delay via $\psi$-Type Riemann-Liouville Fractional Derivative”. Communications in Advanced Mathematical Sciences, vol. 5, no. 1, Mar. 2022, pp. 8-11, doi:10.33434/cams.962877.
Vancouver
1.Dvivek Vivek, Elsayed Elsayed, Kangarajan K. On Fuzzy Differential Equations with Finite Delay via $\psi$-type Riemann-Liouville Fractional Derivative. Communications in Advanced Mathematical Sciences. 2022 Mar. 1;5(1):8-11. doi:10.33434/cams.962877

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