[HTML][HTML] Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method

M Khater, D Lu, RAM Attia - AIP Advances, 2019 - pubs.aip.org
In this paper, we examine a modified auxiliary equation method. We applied this novel
method on Wu-Zhang system. This model used to describe (1+ 1)-dimensional dispersive …

On the conformable nonlinear Schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients

H Rezazadeh, M Odabasi, KU Tariq, R Abazari… - Chinese Journal of …, 2021 - Elsevier
In this paper, exact traveling wave solutions of the conformable differential equations have
been examined. By means of the wave transformation and properties of the conformable …

Analytical and numerical approaches to nerve impulse model of fractional‐order

M Yavuz, A Yokus - Numerical Methods for Partial Differential …, 2020 - Wiley Online Library
We consider a fractional‐order nerve impulse model which is known as FitzHugh–Nagumo
(F–N) model in this paper. Knowing the solutions of this model allows the management of …

Hermite‐Hadamard‐Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

Y Khurshid, M Adil Khan, YM Chu… - Journal of Function …, 2019 - Wiley Online Library
In this paper, we present a Hermite‐Hadamard‐Fejér inequality for conformable fractional
integrals by using symmetric preinvex functions. We also establish an identity associated …

[PDF][PDF] Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals

MA Khan, Y Khurshid, TS Du, YM Chu - J. Funct. Spaces, 2018 - pdfs.semanticscholar.org
In the field of nonlinear programming and optimization theory, no one can ignore the role of
convex sets and convex functions. For the class of convex functions, many inequalities have …

A Gronwall inequality via the generalized proportional fractional derivative with applications

J Alzabut, T Abdeljawad, F Jarad… - Journal of Inequalities and …, 2019 - Springer
In this paper, we provide a new version for the Gronwall inequality in the frame of the
generalized proportional fractional derivative. Prior to the main results, we introduce the …

Recent developments of Lyapunov–type inequalities for fractional differential equations

SK Ntouyas, B Ahmad, TP Horikis - Differential and integral inequalities, 2019 - Springer
A survey of results on Lyapunov-type inequalities for fractional differential equations
associated with a variety of boundary conditions is presented. This includes Dirichlet, mixed …

Dynamics and synchronization of conformable fractional-order hyperchaotic systems using the Homotopy analysis method

S He, K Sun, H Wang - … in Nonlinear Science and Numerical Simulation, 2019 - Elsevier
The conformable fractional-order (CFO) hyperchaotic system is solved by employing the
proposed conformable Homotopy analysis method (CHAM). Relationship between HAM …

Effects of vaccination on measles dynamics under fractional conformable derivative with Liouville–Caputo operator

S Qureshi - The European Physical Journal Plus, 2020 - epjplus.epj.org
Deterministic models in mathematical epidemiology are important tools to comprehend
dynamics of infectious diseases. Theory of ordinary differential equations with first-order …

[HTML][HTML] A modification to the conformable fractional calculus with some applications

A El-Ajou - Alexandria Engineering Journal, 2020 - Elsevier
In the conformable fractional calculus, T α T β≠ T β T α and I α I β≠ I β I α, where T α and I α
are conformable fractional differential and integral operators, respectively. Also, T β≠ T n α …