On existence–uniqueness results for proportional fractional differential equations and incomplete gamma functions
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 1 D ρ = (...
Main Authors: | Zaid Laadjal, Thabet Abdeljawad, Fahd Jarad |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2020-11-01
|
Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-020-03043-8 |
Similar Items
-
Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions
by: Zaid Laadjal, et al.
Published: (2023-01-01) -
Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
by: Y. Y. Gambo, et al.
Published: (2018-04-01) -
Nonlinear fractional differential equations and their existence via fixed point theory concerning to Hilfer generalized proportional fractional derivative
by: Saima Rashid, et al.
Published: (2023-01-01) -
Certain inequalities via generalized proportional Hadamard fractional integral operators
by: Gauhar Rahman, et al.
Published: (2019-10-01) -
Existence and Uniqueness of Some Unconventional Fractional Sturm–Liouville Equations
by: Leila Gholizadeh Zivlaei, et al.
Published: (2024-03-01)