Abstract
AbstractIn 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$$ D^{\rho }= (1-\rho )+ \rho D, \quad \rho \in [0,1], $$Dρ=(1−ρ)+ρD,ρ∈[0,1],whereDis the ordinary differential operator.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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