On Nonlocal Iterative Fractional Terminal Value Problem via Generalized Fractional Derivative

Authors

  • Mansoorali A. Kazi Department of Mathematics, Shree Siddheshwar Women’s College of Engineering, Solapur-413002, (M. S.), India.
  • Vinod V. Kharat Department of Mathematics, N. B. Navale Sinhgad College of Engineering, Kegaon-Solapur-413255, (M. S.), India.
  • Anand R. Reshimkar Department of Mathematics, D. B. F. Dayanand College of Arts & Science, Solapur-413002, (M. S.), India.
  • Machchhindra T. Gophane Department of Mathematics, Shivaji University, Kolhapur-416004, (M.S.), India.

Abstract

Terminal value problems for fractional differential equation with iterative argument are studied in one dimension. For the proposed problem, we have used generalized Katugampola fractional derivative operator considering its generality. Existence and uniqueness results have been established by using fixed point techniques. A couple of examples are discussed at the last to support our theoretical results.

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Published

2024-07-02

Issue

Vol. 56 No. 7 (2024)

Section

Articles

How to Cite

On Nonlocal Iterative Fractional Terminal Value Problem via Generalized Fractional Derivative. (2024). Punjab University Journal of Mathematics, 56(7), 334-347. https://pujm.pu.edu.pk/index.php/pujm/article/view/143