On the hybrid fractional differential equations with fractional proportional derivatives of a function with respect to a certain function
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 …
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
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 …
proportional fractional (GPF) integral in the sense of another function Ψ. The authors prove …
The Minkowski inequalities via generalized proportional fractional integral operators
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 …
derive the various type of inequalities. One of the recent advancements in the field of …
Certain inequalities via generalized proportional Hadamard fractional integral operators
Certain inequalities via generalized proportional Hadamard fractional integral operators |
Advances in Continuous and Discrete Models Skip to main content SpringerLink Account …
Advances in Continuous and Discrete Models Skip to main content SpringerLink Account …
New estimates considering the generalized proportional Hadamard fractional integral operators
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 …
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
In the present paper, we investigate some Hermite-Hadamard (HH) inequalities related to
generalized Riemann-Liouville fractional integral (GRLFI) via exponentially convex …
generalized Riemann-Liouville fractional integral (GRLFI) via exponentially convex …
Novel comparison of numerical and analytical methods for fractional Burger–Fisher equation.
In this paper, we investigate some analytical, numerical and approximate analytical methods
by considering time-fractional nonlinear Burger–Fisher equation (FBFE).(1/G′)-expansion …
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 …
fractional derivative (GPFD) are considered. Some stability properties are studied by the …
Analysis and applications of the proportional Caputo derivative
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 …
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 …
fractional difference system. Based on the q-fractional Gronwall inequality, we analyze the …