Abstract Fractional Differential Inclusions With Generalized Laplace Derivatives

Kostić, Marko; Fedorov, Vladimir E.

doi:10.1007/s10958-024-07406-4

J Math Sci

2024

DOI: 10.1007/s10958-024-07406-4

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Abstract Fractional Differential Inclusions With Generalized Laplace Derivatives

Marko Kostić,

Vladimir E. Fedorov

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2024

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Multidimensional Fractional Calculus: Theory and Applications

Kostić

2024

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In this paper, we introduce several new types of partial fractional derivatives in the continuous setting and the discrete setting. We analyze some classes of the abstract fractional differential equations and the abstract fractional difference equations depending on several variables, providing a great number of structural results, useful remarks and illustrative examples. Concerning some specific applications, we would like to mention here our investigation of the fractional partial differential inclusions with Riemann–Liouville and Caputo derivatives. We also establish the complex characterization theorem for the multidimensional vector-valued Laplace transform and provide certain applications.

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Multidimensional Fractional Calculus: Theory and Applications

Kostić

2024

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Abstract Fractional Differential Inclusions With Generalized Laplace Derivatives

Cited by 1 publication

References 22 publications

Multidimensional Fractional Calculus: Theory and Applications

Multidimensional Fractional Calculus: Theory and Applications

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