On the hybrid fractional differential equations with fractional proportional derivatives of a function with respect to a certain function

MI Abbas, MA Ragusa - Symmetry, 2021 - mdpi.com
This paper deals with a new class of hybrid fractional differential equations with fractional
proportional derivatives of a function with respect to a certain continuously differentiable and …

Inequalities by means of generalized proportional fractional integral operators with respect to another function

S Rashid, F Jarad, MA Noor, H Kalsoom, YM Chu - Mathematics, 2019 - mdpi.com
In this article, we define a new fractional technique which is known as generalized
proportional fractional (GPF) integral in the sense of another function Ψ. The authors prove …

The Minkowski inequalities via generalized proportional fractional integral operators

G Rahman, A Khan, T Abdeljawad, KS Nisar - Advances in Difference …, 2019 - Springer
Recent research has gained more attention on conformable integrals and derivatives to
derive the various type of inequalities. One of the recent advancements in the field of …

Certain inequalities via generalized proportional Hadamard fractional integral operators

G Rahman, T Abdeljawad, F Jarad, A Khan… - Advances in Difference …, 2019 - Springer
Certain inequalities via generalized proportional Hadamard fractional integral operators |
Advances in Continuous and Discrete Models Skip to main content SpringerLink Account …

New estimates considering the generalized proportional Hadamard fractional integral operators

SS Zhou, S Rashid, F Jarad, H Kalsoom… - Advances in Difference …, 2020 - Springer
In the article, we describe the Grüss type inequality, provide some related inequalities by
use of suitable fractional integral operators, address several variants by utilizing the …

Some estimates for generalized Riemann-Liouville fractional integrals of exponentially convex functions and their applications

S Rashid, T Abdeljawad, F Jarad, MA Noor - Mathematics, 2019 - mdpi.com
In the present paper, we investigate some Hermite-Hadamard (HH) inequalities related to
generalized Riemann-Liouville fractional integral (GRLFI) via exponentially convex …

Novel comparison of numerical and analytical methods for fractional Burger–Fisher equation.

A Yokus, M Yavuz - Discrete & Continuous Dynamical …, 2021 - search.ebscohost.com
In this paper, we investigate some analytical, numerical and approximate analytical methods
by considering time-fractional nonlinear Burger–Fisher equation (FBFE).(1/G′)-expansion …

Stability of generalized proportional Caputo fractional differential equations by Lyapunov functions

R Agarwal, S Hristova, D O'Regan - Fractal and Fractional, 2022 - mdpi.com
In this paper, nonlinear nonautonomous equations with the generalized proportional Caputo
fractional derivative (GPFD) are considered. Some stability properties are studied by the …

Analysis and applications of the proportional Caputo derivative

A Akgül, D Baleanu - Advances in Difference Equations, 2021 - Springer
In this paper, we investigate the analysis of the proportional Caputo derivative that recently
has been constructed. We create some useful relations between this new derivative and …

Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach

RI Butt, T Abdeljawad, MA Alqudah… - Journal of Inequalities and …, 2019 - Springer
In this article, we discuss the existence and uniqueness of solution of a delay Caputo q-
fractional difference system. Based on the q-fractional Gronwall inequality, we analyze the …