Research Article

Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative

Volume: 14 Number: 1 June 30, 2022
EN

Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative

Abstract

In this paper, we discuss the existence of solutions for hybrid stochastic differential equations (HSDEs) with the $\psi$-Hilfer fractional derivative. The main tool used in our study is associated with the technique of fixed point theorems due to Dhage.

Keywords

References

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  3. Ahmad, B., Ntouyas, S.K., An existence theorem for fractional hybrid differential inclusions of Hadamard type with Dirichlet boundary conditions, Abstr. Appl. Anal., (2014), Article ID 705809, 1-7.
  4. Ahmad,. B., Ntouyas, S.K., Initial value problems for hybrid Hadamard fractional differential equations, Electron. J. Differential Equations, 161(2014), 1-8.
  5. Ahmed, H.M., Semilinear neutral fractional stochastic integro-differential equations with non local conditions, J. Theor.Probab., 26(4)(2013).
  6. Ahmed, H.M., On some fractional stochastic integro-differential equations in Hilbert spaces, Int. J. Math.Math.Sci., 2009(2009), 568-678.
  7. Baghani, O., On fractional Langevin equation involving two fractional orders, Commun. Nonlinear. Sci. Numer. Simul., 42(2017), 675-681.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2022

Submission Date

August 26, 2021

Acceptance Date

April 4, 2022

Published in Issue

Year 2022 Volume: 14 Number: 1

APA
Vivek, D., Elsayed, E., & K., K. (2022). Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative. Turkish Journal of Mathematics and Computer Science, 14(1), 138-144. https://doi.org/10.47000/tjmcs.987414
AMA
1.Vivek D, Elsayed E, K. K. Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative. TJMCS. 2022;14(1):138-144. doi:10.47000/tjmcs.987414
Chicago
Vivek, Dvivek, Elsayed Elsayed, and Kangarajan K. 2022. “Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative”. Turkish Journal of Mathematics and Computer Science 14 (1): 138-44. https://doi.org/10.47000/tjmcs.987414.
EndNote
Vivek D, Elsayed E, K. K (June 1, 2022) Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative. Turkish Journal of Mathematics and Computer Science 14 1 138–144.
IEEE
[1]D. Vivek, E. Elsayed, and K. K., “Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative”, TJMCS, vol. 14, no. 1, pp. 138–144, June 2022, doi: 10.47000/tjmcs.987414.
ISNAD
Vivek, Dvivek - Elsayed, Elsayed - K., Kangarajan. “Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative”. Turkish Journal of Mathematics and Computer Science 14/1 (June 1, 2022): 138-144. https://doi.org/10.47000/tjmcs.987414.
JAMA
1.Vivek D, Elsayed E, K. K. Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative. TJMCS. 2022;14:138–144.
MLA
Vivek, Dvivek, et al. “Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative”. Turkish Journal of Mathematics and Computer Science, vol. 14, no. 1, June 2022, pp. 138-44, doi:10.47000/tjmcs.987414.
Vancouver
1.Dvivek Vivek, Elsayed Elsayed, Kangarajan K. Existence Results for Hybrid Stochastic Differential Equations Involving $\psi$-Hilfer Fractional Derivative. TJMCS. 2022 Jun. 1;14(1):138-44. doi:10.47000/tjmcs.987414

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