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On existence-uniqueness results for proportional fractional differential equations and incomplete gamma functions
Journal article   Open access  Peer reviewed

On existence-uniqueness results for proportional fractional differential equations and incomplete gamma functions

Zaid Laadjal, Thabet Abdeljawad and Fahd Jarad
Advances in difference equations, Vol.2020(1), pp.1-16
16/11/2020
DOI: https://doi.org/10.1186/s13662-020-03043-8

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we employ the lower regularized incomplete gamma functions to demonstrate the existence and uniqueness of solutions for fractional differential equations involving nonlocal fractional derivatives (GPF derivatives) generated by proportional derivatives of the form D-rho=(1-rho)+rho D, rho is an element of[0,1], (1) where D is the ordinary differential operator.
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https://doi.org/10.1186/s13662-020-03043-8View
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