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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 14 Issue: 1

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

Dvivek Vivek(PSG College of Arts and science)0000-0003-0951-8060
Elsayed Elsayed(King Abdulaziz University)0000-0003-0894-8472
Kangarajan K.(Sri Ramakrishna Mission Vidyalaya College of Arts and Science,)0000-0001-5556-2658
Pages
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Publication Date
2022-06-30
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⚡ TL;DR(Too Long; Didn't Read)

The main tool used in our study is associated with the technique of fixed point theorems due to Dhage.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we discuss the existence of solutions for hybrid stochastic differential equations (HSDEs) with the $\psi$-Hilfer fractional derivative.
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Key Findings & Data:In this paper, we discuss the existence of solutions for hybrid stochastic differential equations (HSDEs) with the $\psi$-Hilfer fractional derivative.
💡
Conclusion & Impact:The main tool used in our study is associated with the technique of fixed point theorems due to Dhage.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Riemann-Liouville fractional integral · Hilfer fractional derivative · existence

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.

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Cite This Article

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, Volume: 14 Issue: 1. https://doi.org/10.47000/tjmcs.987414

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