Existence Results for a Class of First-order Fractional Differential Equations with Advanced Arguments and Nonlocal Initial Conditions

Authors

  • Mohammed Abdelhakim Benzian
  • Mohammed Derhab
  • Bachir Messirdi

Keywords:

Fractional differential equations, advanced arguments, upper and lower solutions, monotone iterative technique, nonlocal initial condition.

Abstract

This work is concerned with the construction of solutions for a class of first order fractional differential equations with advanced arguments and with nonlocal initial conditions. We also give some examples to illustrate our results.

Key words and phrases. Fractional differential equations, advanced arguments, upper and lower solutions, monotone iterative technique, nonlocal initial condition.

2010 Mathematics Subject Classification. 34A08; 34A45; 34B15; 34B37; 34C60

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Published

2025-05-18

How to Cite

Mohammed Abdelhakim Benzian, Mohammed Derhab, & Bachir Messirdi. (2025). Existence Results for a Class of First-order Fractional Differential Equations with Advanced Arguments and Nonlocal Initial Conditions. Jordan Journal of Mathematics and Statistics, 15(3B), 591–613. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/735

Issue

Vol. 15 No. 3B (2022)

Section

Articles