Existence of Solutions for Sequential Liouville-Caputo Fractional Differential Equations

Authors

  • Rahmat Darzi * Department of Mathematics, NeK.C., Islamic Azad University, Neka, Iran.
  • Bahram Agheli Department of Mathematics, QaS.C., Islamic Azad University, Qaemshahr, Iran.

https://doi.org/10.48314/anowa.v2i1.67

Abstract

The focus of this research involves a distinct category of fractional differential equations (FDEs), specifically sequential Liouville-Caputo FDEs, which incorporate antiperiodic boundary conditions and Rie-mann-Liouville integral constraints, provided that certain appropriate conditions are satisfied. The main objective of this paper is to investigate the existence and uniqueness (EU) of the solution for the proposed problem, utilizing fixed point (FP) theory, and several novel equalities have been established in the norm form.

Keywords:

Liouville-caputo derivative, Antiperiodic, Integral conditions, Existence

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Published

2026-03-15

Issue

Vol. 2 No. 1 (2026): Annals of Optimization With Applications (ANOWA)

Section

Articles

How to Cite

Darzi, R. ., & Agheli, B. . (2026). Existence of Solutions for Sequential Liouville-Caputo Fractional Differential Equations. Annals of Optimization With Applications, 2(1), 33-47. https://doi.org/10.48314/anowa.v2i1.67