Using 2D and 1D block-pulse functions simultaneously for solving the Barbashin integro-differential equations

Akhavan, S.; Roohollahi, Abdolali

doi:10.1080/00207160.2023.2192304

International Journal of Computer Mathematics

2023

DOI: 10.1080/00207160.2023.2192304

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Using 2D and 1D block-pulse functions simultaneously for solving the Barbashin integro-differential equations

S. Akhavan

Abdolali Roohollahi

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2024

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Cited by 1 publication

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On integrable and approximate solutions for Hadamard fractional quadratic integral equations

Aldosary,

Metwali,

Kazemi

et al. 2024

MATH

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<abstract><p>This article addressed the integrable and approximate solutions of Hadamard-type fractional Gripenberg's equation in Lebesgue spaces $ L_1[1, e] $. It is well known that the Gripenberg's equation has significant applications in mathematical biology. By utilizing the fixed point (FPT) approach and the measure of noncompactness (MNC), we demonstrated the presence of monotonic integrable solutions as well as the uniqueness of the solution for the studied equation in spaces that are not Banach algebras. Moreover, the method of successive approximations was successfully applied and, as a result, we obtained the approximate solutions for these integral equations. To validate the obtained results, we provided several numerical examples.</p></abstract>

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On integrable and approximate solutions for Hadamard fractional quadratic integral equations

Aldosary,

Metwali,

Kazemi

et al. 2024

MATH

View full text Add to dashboard Cite

show abstract

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Using 2D and 1D block-pulse functions simultaneously for solving the Barbashin integro-differential equations

Cited by 1 publication

References 22 publications

On integrable and approximate solutions for Hadamard fractional quadratic integral equations

On integrable and approximate solutions for Hadamard fractional quadratic integral equations

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