Analysis of Caputo-Hadamard fractional neutral delay differential equations involving Hadamard integral and unbounded delays: Existence and uniqueness

Teshome Beyene, Mesfin; Daba Firdi, Mitiku; Temesgen Dufera, Tamirat

doi:10.1080/27684830.2024.2321669

Research in Mathematics

2024

DOI: 10.1080/27684830.2024.2321669

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Analysis of Caputo-Hadamard fractional neutral delay differential equations involving Hadamard integral and unbounded delays: Existence and uniqueness

Mesfin Teshome Beyene,

Mitiku Daba Firdi,

Tamirat Temesgen Dufera

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2024

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Cited by 2 publications

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Existence and stability of solution for a coupled system of Caputo–Hadamard fractional differential equations

Teshome Beyene,

Daba Firdi,

Temesgen Dufera

2024

Fixed Point Theory Algorithms Sci Eng

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Existence and stability of solution for a coupled system of Caputo–Hadamard fractional differential equations

Teshome Beyene,

Daba Firdi,

Temesgen Dufera

2024

Fixed Point Theory Algorithms Sci Eng

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Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations

Zaky,

Babatin,

Hammad

et al. 2024

MATH

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<abstract><p>Caputo-Hadamard-type fractional calculus involves the logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenges in numerical approximations. In this paper, we construct and analyze a spectral collocation approach using mapped Jacobi functions as basis functions and construct an efficient algorithm to solve systems of fractional pantograph delay differential equations involving Caputo-Hadamard fractional derivatives. What we study is the error estimates of the derived method. In addition, we tabulate numerical results to support our theoretical analysis.</p></abstract>

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Analysis of Caputo-Hadamard fractional neutral delay differential equations involving Hadamard integral and unbounded delays: Existence and uniqueness

Cited by 2 publications

References 50 publications

Existence and stability of solution for a coupled system of Caputo–Hadamard fractional differential equations

Existence and stability of solution for a coupled system of Caputo–Hadamard fractional differential equations

Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations

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