"Existence and Uniqueness of Solutions of a Boundary Value Problem of Fractional Order via S-Iteration"

TIDKE, HARIBHAU L.; PATIL, GAJANAN S.

doi:10.37193/cmi.2023.01.10

CMI

2022

DOI: 10.37193/cmi.2023.01.10

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"Existence and Uniqueness of Solutions of a Boundary Value Problem of Fractional Order via S-Iteration"

HARIBHAU L. TIDKE¹,

GAJANAN S. PATIL²

Abstract: "The present paper studies the existence and uniqueness of solutions to a boundary value problem (BVP) of fractional order involving the Caputo fractional derivative and also discusses some other properties of the solutions. An example in support of all established results is given."

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2024

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Solution approximation of fractional boundary value problems and convergence analysis using AA-iterative scheme

Abbas,

Ciobanescu,

Asghar

et al. 2024

MATH

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<abstract><p>Addressing the boundary value problems of fractional-order differential equations hold significant importance due to their applications in various fields. The aim of this paper was to approximate solutions for a class of boundary value problems involving Caputo fractional-order differential equations employing the AA-iterative scheme. Moreover, the stability and data dependence results of the iterative scheme were given for a certain class of mappings. Finally, a numerical experiment was illustrated to support the results presented herein. The results presented in this paper extend and unify some well-known comparable results in the existing literature.</p></abstract>

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Solution approximation of fractional boundary value problems and convergence analysis using AA-iterative scheme

Abbas,

Ciobanescu,

Asghar

et al. 2024

MATH

View full text Add to dashboard Cite

show abstract

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"Existence and Uniqueness of Solutions of a Boundary Value Problem of Fractional Order via S-Iteration"

Abstract: "The present paper studies the existence and uniqueness of solutions to a boundary value problem (BVP) of fractional order involving the Caputo fractional derivative and also discusses some other properties of the solutions. An example in support of all established results is given."

Cited by 1 publication

References 27 publications

Solution approximation of fractional boundary value problems and convergence analysis using AA-iterative scheme

Solution approximation of fractional boundary value problems and convergence analysis using AA-iterative scheme

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