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Article
Multi-parametric mittag-leffler functions and their extension
This paper surveys one of the last contributions by the late Professor Anatoly Kilbas (1948–2010) and research made under his advisorship. We briefly describe the historical development of the theory of the di...
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Article
Hankel-Schwartz and Hankel-Clifford transforms on \({\cal L}_{\nu,p}\) -spaces
The paper is devoted to study Map** properties of the Hankel-Schwartz integral transform and the Hankel-Clifford integral transform
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Chapter and Conference Paper
Hadamard-Type Integral Equations and Fractional Calculus Operators
The paper is devoted to the study of the integral equation $$ \frac{1}{{\Gamma (\alpha )}}\smallint _a^x{\left( {\frac{u}{x}} \right)^\mu }{\left( {\log \frac{x}{u}} \right)^{\alpha - 1}}f\left( u...
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Chapter
Some Problems in the Theory of Integral and Differential Equations of Fractional Order
The paper is devoted to some aspects of the so-called integral and differential equations of fractional order in which an unknown function is contained under the operation of integration and differentiation of...
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Chapter
Fractional Differential Equations: A Emergent Field in Applied and Mathematical Sciences
The paper is devoted to some aspects of differential equations of fractional order and their applications. It is explained a fact that the subject of fractional differential equations is an emergent topic as a...
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Article
Bessel-type Integral Transforms on \({\cal L}_{\nu,r}\) ⋌e-spaces
Two integral transforms with kernels generalizing the Macdonald function K u(z) are studied in weighted % MathType!MTE...
