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

On more general forms of proportional fractional operators

(2020) Fahd Jarad et al.   Open Mathematics

On a Fractional Operator Combining Proportional and Classical Differintegrals

(2020) Dumitru Baleanu et al.   Mathematics

Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals

(2019) Thabet Abdeljawad   CHAOS

Nonlinear Caputo Fractional Derivative with Nonlocal Riemann-Liouville Fractional Integral Condition Via Fixed Point Theorems

(2019) Piyachat Borisut et al.   Symmetry-Basel

Existence Result and Uniqueness for Some Fractional Problem

(2019) Guotao Wang et al.   Mathematics

Nonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag–Leffler kernel

(2019) Badr Alqahtani et al.   CHAOS SOLITONS & FRACTALS

Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function

(2019) Saima Rashid et al.   Mathematics

Existence and uniqueness results for the coupled systems of implicit fractional differential equations with periodic boundary conditions

(2018) Wei Zhang et al.   Advances in Difference Equations

On defining the distributions δr$\delta^{r}$ and (δ′)r$(\delta ^{\prime})^{r}$ by conformable derivatives

(2018) Fahd Jarad et al.   Advances in Difference Equations

Generalized fractional derivatives generated by a class of local proportional derivatives

(2017) Fahd Jarad et al.   European Physical Journal-Special Topics

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

(2016) Abdon Atangana et al.   Thermal Science

Stability analysis of HIV-1 model with multiple delays

(2016) Nigar Ali et al.   Advances in Difference Equations

On conformable fractional calculus

(2015) Thabet Abdeljawad   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios

(2012) Amparo Gil et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING