On Existence-Uniqueness Results for Proportional Fractional Differential Equations and Incomplete Gamma Functions
Loading...
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
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.
Description
Laadjal, Zaid/0000-0003-1627-2898; Abdeljawad, Thabet/0000-0002-8889-3768
Keywords
Incomplete Gamma Function, Generalized Proportional Fractional Differential Equation, Existence, Uniqueness, Fractional Differential Equations, Applied Mathematics, Partial Differential Equations, Existence, Integro-Differential Equations, Theory and Applications of Fractional Differential Equations, Computer science, Incomplete gamma function, Nonlocal Partial Differential Equations and Boundary Value Problems, Algorithm, Fractional Derivatives, Modeling and Simulation, Physical Sciences, QA1-939, FOS: Mathematics, Generalized proportional fractional differential equation, Uniqueness, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Mathematics, incomplete gamma function, Fractional ordinary differential equations, Fractional derivatives and integrals, existence, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), uniqueness, generalized proportional fractional differential equation
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Laadjal, Zaid; Abdeljawad, Thabet; Jarad, Fahd (2020). "On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
12
Source
Advances in Difference Equations
Volume
2020
Issue
1
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 1
Scopus : 15
Google Scholar™
