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

Year 2022, Volume: 5 Issue: 1, 8 - 11, 17.03.2022

Dvivek Vivek , Elsayed Elsayed , Kangarajan K.

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

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

Supporting Institution

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Project Number

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References

  • [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] J. U. Jeong, Existence results for fractional order Fuzzy differential equations with infinite delay, Int. Math. Forum, 5 (2010), 3221-3230.
  • [3] H. Wang, Y. Liu, Existence results for fractional Fuzzy differential equations with finite delay, Int. Math. Forum, 6 (2011), 2535-2538.
  • [4] R. Almeida, A Caputo fractional derivative of a function with respect to another function, Commun. Nonlinear Sci. Numer. Simul., 44 (2017), 460-481.

Year 2022, Volume: 5 Issue: 1, 8 - 11, 17.03.2022

Dvivek Vivek , Elsayed Elsayed , Kangarajan K.

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

Abstract

Project Number

-

References

  • [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] J. U. Jeong, Existence results for fractional order Fuzzy differential equations with infinite delay, Int. Math. Forum, 5 (2010), 3221-3230.
  • [3] H. Wang, Y. Liu, Existence results for fractional Fuzzy differential equations with finite delay, Int. Math. Forum, 6 (2011), 2535-2538.
  • [4] R. Almeida, A Caputo fractional derivative of a function with respect to another function, Commun. Nonlinear Sci. Numer. Simul., 44 (2017), 460-481.
There are 4 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Dvivek Vivek 0000-0003-0951-8060

Elsayed Elsayed 0000-0003-0894-8472

Kangarajan K. 0000-0001-5556-2658

Project Number -
Publication Date March 17, 2022
Submission Date July 5, 2021
Acceptance Date December 21, 2021
Published in Issue Year 2022 Volume: 5 Issue: 1

Cite

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 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. March 2022;5(1):8-11. doi:10.33434/cams.962877
Chicago Vivek, Dvivek, Elsayed Elsayed, and Kangarajan K. “On Fuzzy Differential Equations With Finite Delay via $\psi$-Type Riemann-Liouville Fractional Derivative”. Communications in Advanced Mathematical Sciences 5, no. 1 (March 2022): 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 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, 2022, doi: 10.33434/cams.962877.
ISNAD Vivek, Dvivek et al. “On Fuzzy Differential Equations With Finite Delay via $\psi$-Type Riemann-Liouville Fractional Derivative”. Communications in Advanced Mathematical Sciences 5/1 (March 2022), 8-11. https://doi.org/10.33434/cams.962877.
JAMA 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, 2022, pp. 8-11, doi:10.33434/cams.962877.
Vancouver 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.
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