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

Authors

  • Waggas Galib Atshan College of Computer Science and Mathematics, University of Al-Qadisiya ,Diwaniya, Iraq
  • Hisham Mohammed Ali College of Computer Science & Mathematics, University of Al-Qadisiya, Diwaniya – Iraq.
  • Duaa Mohammed Hamid College of Computer Science & Mathematics, University of Al-Qadisiya, Diwaniya – Iraq.

DOI:

https://doi.org/10.24297/jam.v10i9.1879

Keywords:

fractional calculus(fractional derivative and fractional integral), Srivastava-Owa fractional operators, analytic function, fractional complex transform, fractional differential equations, Cauchy differential equation and Fox-W

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.

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Author Biographies

  • Waggas Galib Atshan, College of Computer Science and Mathematics, University of Al-Qadisiya ,Diwaniya, Iraq
    Department of Mathematics,
  • Hisham Mohammed Ali, College of Computer Science & Mathematics, University of Al-Qadisiya, Diwaniya – Iraq.
    Department of Mathematics
  • Duaa Mohammed Hamid, College of Computer Science & Mathematics, University of Al-Qadisiya, Diwaniya – Iraq.
    Department of Mathematics
Journal of Advances in Mathematics

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Published

2015-06-29

Issue

Vol. 10 No. 9 (2015)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

On Some Results of a New Fractional Calculus in the Unit Disk and its Applications. (2015). JOURNAL OF ADVANCES IN MATHEMATICS, 10(9), 3813-3827. https://doi.org/10.24297/jam.v10i9.1879

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