Controllability and qualitative property results for Ambartsumian equation via chi- Hilfer generalized proportional fractional derivative on time scales

Authors

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

Abstract

In this study, we discuss the existence, uniqueness, and controllability results for an Ambartsumian equation with impulses using the $\Xi$-Hilfer generalized proportional fractional derivative (PFD). Common fixed point theorems are employed in our analysis. We achieve a few suitable conditions for existence, uniqueness, and controllability.

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Published

2022-11-22

Issue

Vol. 29 No. 4 (2022): Nonlinear Studies (NS)

Section

Articles

How to Cite

Controllability and qualitative property results for Ambartsumian equation via chi- Hilfer generalized proportional fractional derivative on time scales. (2022). Nonlinear Studies, 29(4). https://nonlinearstudies.com/index.php/nonlinear/article/view/3084