Review of fractional-order electrical characterization of supercapacitors
The tests and calculation of the key performance metrics of supercapacitors including
capacitance, power and energy stored are commonly reported by the academia and the …
capacitance, power and energy stored are commonly reported by the academia and the …
Fractional operator viscoelastic models in dynamic problems of mechanics of solids: A review
MV Shitikova - Mechanics of solids, 2022 - Springer
This paper reviews the recent research in the application of fractional calculus in the models
of linear viscoelasticity utilized in dynamic problems of mechanics of solids. The brief …
of linear viscoelasticity utilized in dynamic problems of mechanics of solids. The brief …
A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
In this paper, we present a new fractional-order mathematical model for a tumor-immune
surveillance mechanism. We analyze the interactions between various tumor cell …
surveillance mechanism. We analyze the interactions between various tumor cell …
On a fractional operator combining proportional and classical differintegrals
The Caputo fractional derivative has been one of the most useful operators for modelling
non-local behaviours by fractional differential equations. It is defined, for a differentiable …
non-local behaviours by fractional differential equations. It is defined, for a differentiable …
Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method
In this paper, our focus is on the multidimensional mathematical physics models. We employ
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …
New variable-order fractional chaotic systems for fast image encryption
New variable-order fractional chaotic systems are proposed in this paper. A concept of short
memory is introduced where the initial point in the Caputo derivative is varied. The fractional …
memory is introduced where the initial point in the Caputo derivative is varied. The fractional …
On fractional operators and their classifications
D Baleanu, A Fernandez - Mathematics, 2019 - mdpi.com
Fractional calculus dates its inception to a correspondence between Leibniz and L'Hopital in
1695, when Leibniz described “paradoxes” and predicted that “one day useful …
1695, when Leibniz described “paradoxes” and predicted that “one day useful …
Probing families of optical soliton solutions in fractional perturbed Radhakrishnan–Kundu–Lakshmanan model with improved versions of extended direct algebraic …
In this investigation, we utilize advanced versions of the Extended Direct Algebraic Method
(EDAM), namely the modified EDAM (mEDAM) and r+ mEDAM, to explore families of optical …
(EDAM), namely the modified EDAM (mEDAM) and r+ mEDAM, to explore families of optical …
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives
We introduce a new generalized Caputo-type fractional derivative which generalizes Caputo
fractional derivative. Some characteristics were derived to display the new generalized …
fractional derivative. Some characteristics were derived to display the new generalized …
Investigating families of soliton solutions for the complex structured coupled fractional biswas–arshed model in birefringent fibers using a novel analytical technique
This research uses a novel analytical method known as the modified Extended Direct
Algebraic Method (mEDAM) to explore families of soliton solutions for the complex …
Algebraic Method (mEDAM) to explore families of soliton solutions for the complex …