On Some Results of a New Fractional Calculus in the Unit Disk and its Applications

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 9

Abstract

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.

Authors and Affiliations

Waggas Galib Atshan, Hisham Mohammed Ali, Duaa Mohammed Hamid

Keywords

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  • EP ID EP651545
  • DOI 10.24297/jam.v10i9.1879
  • Views 131
  • Downloads 0

How To Cite

Waggas Galib Atshan, Hisham Mohammed Ali, Duaa Mohammed Hamid (2015). On Some Results of a New Fractional Calculus in the Unit Disk and its Applications. JOURNAL OF ADVANCES IN MATHEMATICS, 10(9), 3813-3827. https://europub.co.uk/articles/-A-651545