A COMPUTATIONAL ANALYSIS OF 𝒜ℬ𝒞 HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS OF TYPE II

In this paper, our main motive is the analysis of solution of a class of Atangana–Baleanu–Caputo fractional hybrid differential equations ([Formula: see text]-FHDEs) of the second kind. Atangana–Baleanu fractional derivative in the sense of Caputo has been used. We provide necessary hypotheses to ensure the existence of the solution. The whole analysis is based on nonlinear contraction and fixed-point techniques. Also, we introduce essential tools and propertyless to introduce an efficient procedure to investigate the qualitative behavior of solutions and comparison results in more depth. For the respective results verification, we give a proper example with presentation of computational results graphically against various fractional order values.

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Publication Details

Journal
Fractals
Published
2025-04-15
DOI
https://doi.org/10.1142/s0218348x25400651
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

A COMPUTATIONAL ANALYSIS OF 𝒜ℬ𝒞 HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS OF TYPE II

Manel Hleili, Yahya Khan, Asma Asma, Sadique Ahmad et al.
Fractals
Fractional Differential Equations Solutions
article

A COMPUTATIONAL ANALYSIS OF 𝒜ℬ𝒞 HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS OF TYPE II

Manel Hleili, Yahya Khan, Asma Asma, Sadique Ahmad, Abeer D. Algarni
article en

Abstract

In this paper, our main motive is the analysis of solution of a class of Atangana–Baleanu–Caputo fractional hybrid differential equations ([Formula: see text]-FHDEs) of the second kind. Atangana–Baleanu fractional derivative in the sense of Caputo has been used. We provide necessary hypotheses to ensure the existence of the solution. The whole analysis is based on nonlinear contraction and fixed-point techniques. Also, we introduce essential tools and propertyless to introduce an efficient procedure to investigate the qualitative behavior of solutions and comparison results in more depth. For the respective results verification, we give a proper example with presentation of computational results graphically against various fractional order values.

Fractals
Princess Nourah bint Abdulrahman University (SA), Prince Sultan University (SA), COMSATS University Islamabad (PK), University of Tabuk (SA)
Openalex Percentile: Top 91%
Fractional Differential Equations Solutions
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