On qualitative analysis of fuzzy random differential equations via the tempered Xi-Hilfer fractional derivative

Authors

  • Department of Mathematics, \\Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.
  • College of Natural Science,Engineering and Mathematics, Daytona Beach, FL 32114, USA.
  • Department of Mathematics, \\Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.
  • Department of Mathematics,\\ PSG College of Arts $\&$ Science, Coimbatore-641014, India.

Abstract

In this work, we have considered the fuzzy random differential equations involving the tempered $\Xi$-Hilfer fractional derivative. For the proposed problems, we have developed the existence and uniqueness (EU) by using successive approximations under generalized Lipschitz conditions. Proper examples have also been provided with detailed analysis to verify our results.

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Published

2023-08-23

Issue

Vol. 30 No. 3 (2023): Nonlinear Studies (NS)

Section

Articles

How to Cite

On qualitative analysis of fuzzy random differential equations via the tempered Xi-Hilfer fractional derivative. (2023). Nonlinear Studies, 30(3). https://www.nonlinearstudies.com/index.php/nonlinear/article/view/3340