On Some Results of a New Fractional Calculus in the Unit Disk and its Applications
DOI:
https://doi.org/10.24297/jam.v10i9.1879Keywords:
fractional calculus(fractional derivative and fractional integral), Srivastava-Owa fractional operators, analytic function, fractional complex transform, fractional differential equations, Cauchy differential equation and Fox-WAbstract
In this paper, we study a new definition of fractional calculus (fractional derivative-(β,ϒ),fractional integral-(β,ϒ),by depending of Srivastava-Owa fractional operators,and study some properties and provided of operators-(β,ϒ)and Applecations by using fractional complex transform for fractionaldifferential equations , Distortion inequalities and establishing the sufficient conditions for the existence and uniqueness of Cauchy problem in the unit disk.
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