Oscillatory Behavior of Solution of Hilfer Fractional Differential Equation

In this paper, we study the oscillation of impulsive fractional differential equations.Using the inequality principle and Bihari Lemma,sufficient conditions are found for both the asymptotic and oscillatory phases of the equation. An example is given to illustrate the validity of our main results. The oscillation of an impulsive fractional differential equation with two different Caputo derivatives is being studied for the fist time.

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Publication Details

Journal
Conclusions in Engineering
Published
2025-02-21
DOI
https://doi.org/10.71107/gfd62y51
Citations
1
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
1.37
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article

Oscillatory Behavior of Solution of Hilfer Fractional Differential Equation

Azmat Ullah Khan Niazi, Naveed Iqbal, Aqsa Balqees
1 citations
Conclusions in Engineering
Fractional Differential Equations Solutions
1.37
article

Oscillatory Behavior of Solution of Hilfer Fractional Differential Equation

Azmat Ullah Khan Niazi, Naveed Iqbal, Aqsa Balqees
article en
1 citations

Abstract

In this paper, we study the oscillation of impulsive fractional differential equations.Using the inequality principle and Bihari Lemma,sufficient conditions are found for both the asymptotic and oscillatory phases of the equation. An example is given to illustrate the validity of our main results. The oscillation of an impulsive fractional differential equation with two different Caputo derivatives is being studied for the fist time.

Conclusions in EngineeringVol. 1(1)
University of Sargodha (PK), University of Ha'il (SA)
Openalex Percentile: Top 25%
Fractional Differential Equations Solutions
1.37
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