Engineering

Novel Insights into Oscillation of Impulsive Fractional Differential Equations with Caputo Derivative

Authors

  • Rabbiya Fatima

    The University of Lahore, Sargodha campus
    Author
  • Azmat Ullah Khan Niazi

    The University of Lahore, Sargodha campus
    Author
  • Hassan Raza

    Wenzhou-Kean University, Wenzhou, PR China
    Author

DOI:

https://doi.org/10.71107/977nnr55

Keywords:

Oscillation theory, fractional differential equation, impulsive differential equations

Abstract

In this paper, we explore the oscillation of impulsive Caputo fractional differential equations. Conditions for both asymptotic and oscillatory outcomes are established through the application of the inequality principle and Bihari Lemma. An example is given to explain the results of all problems. This is the first time to study the oscillation of impulsive fractional differential equation with Caputo Derivative. 

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Author Biographies

  • Rabbiya Fatima, The University of Lahore, Sargodha campus

    Ms. Rabbya is the MPhil student.

  • Azmat Ullah Khan Niazi, The University of Lahore, Sargodha campus

    Dr. Azmat Ullah Khan is currently working as Assistant professor, at the University of Lahore, Sargodha campus.

  • Hassan Raza, Wenzhou-Kean University, Wenzhou, PR China

    Dr. Hassan Raza is working at Department of Mathematics, School of Science, Mathematics and Technology, Wenzhou-Kean University, Wenzhou, PR China

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Published

2025-02-21

Data Availability Statement

Data will be made available on request from corresponding author.