Integral transforms defined by a new fractional class of analytic function in a complex Banach space

In this effort, we define a new class of fractional analytic functions containing functional parameters in the open unit disk. By employing this class, we introduce two types of fractional operators, differential and integral. The fractional differential operator is considered to be in the sense of...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-09, Vol.1294 (3), p.32008
Main Authors: Esa Abdulnaby, Zainab, Abdul-Nabi, Ahmed E
Format: Article
Language:English
Subjects:
Analytic functions
Banach spaces
Differential equations
Fox- Wright function
Fractional calculus
Functionals
Hadamard product
Integral transforms
Mathematical analysis
norm Banach space
Operators (mathematics)
Physics
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Summary:In this effort, we define a new class of fractional analytic functions containing functional parameters in the open unit disk. By employing this class, we introduce two types of fractional operators, differential and integral. The fractional differential operator is considered to be in the sense of Ruscheweyh differential operator, while the fractional integral operator is in the sense of Noor integral. The boundedness and compactness in a complex Banach space are discussed. Other studies are illustrated in the sequel.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1294/3/032008