Stochastic Stability and Controllability Analysis of Impulsive Multi-Term Fractional Differential System

Authors

  • M. Lavanya Department of Mathematics, Alagappa University, Karaikudi-630 004, India
  • B. Sundara Vadivoo Department of Mathematics, Central University of Tamil Nadu, Thiruvarur-610 005, India
  • Ibrahim Alraddadi Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia
  • Dragan Pamucar Széchenyi István University, Győr, Hungary
  • Osama Oqilat Department of Basic Sciences, Faculty of Arts and Science, Hourani Center for Applied Scientific Research, Al-Ahliyya Amman University, Amman, Jordan
  • Hijaz Ahmad Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, South Korea

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6820

Keywords:

fractional derivatives; differential equations; fractional differential equations; antiperiodic; nonlocal boundary conditions; existence.

Abstract

This study investigates the existence, stability, and controllability of multi-term stochastic fractional impulsive differential equations. By employing the contraction mapping principle, sufficient conditions ensuring stochastic stability are rigorously established. Two classes of systems—linear and nonlinear are analyzed in detail. Furthermore, the controllability of these sys-
tems is demonstrated using the Gramian operator approach. To validate the theoretical findings, numerical simulations are performed in MATLAB, illustrating the effectiveness and applicability of the proposed results.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Mathematical Modeling and Numerical Analysis

License

Copyright (c) 2025 M. Lavanya, B. Sundaravadivoo, Ibrahim Alraddadi, Dragan Pamucar, Osama Oqilat, Hijaz Ahmad

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How to Cite

Stochastic Stability and Controllability Analysis of Impulsive Multi-Term Fractional Differential System. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6820. https://doi.org/10.29020/nybg.ejpam.v18i4.6820