Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel

A Khan, H Khan, JF Gómez-Aguilar… - Chaos, Solitons & …, 2019 - Elsevier
In this paper we are established the existence of positive solutions (EPS) and the Hyers-
Ulam (HU) stability of a general class of nonlinear Atangana-Baleanu-Caputo (ABC) …

New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

W Gao, P Veeresha, DG Prakasha… - … Methods for Partial …, 2021 - Wiley Online Library
The pivotal aim of the present work is to find the numerical solution for fractional Benney–Lin
equation by using two efficient methods, called q‐homotopy analysis transform method and …

Ample felicitous wave structures for fractional foam drainage equation modeling for fluid-flow mechanism

A Yokuş, H Durur, S Duran, MT Islam - Computational and Applied …, 2022 - Springer
In this study, traveling wave solutions have been explored with the newly developed
improved tanh method and modified 1/G′-expansion method for the Fractional foam …

A fractional order Zika virus model with Mittag–Leffler kernel

R Begum, O Tunç, H Khan, H Gulzar, A Khan - Chaos, Solitons & Fractals, 2021 - Elsevier
Zika virus is one of the lethal virus which is a threat to humans health. It can be transmitted
from human to human, from mosquitos to human, from human to mosquitos. Since there is …

A fractional-order epidemic model with time-delay and nonlinear incidence rate

FA Rihan, QM Al-Mdallal, HJ AlSakaji… - Chaos, Solitons & …, 2019 - Elsevier
In this paper, we provide an epidemic SIR model with long-range temporal memory. The
model is governed by delay differential equations with fractional-order. We assume that the …

Dynamical study of fractional order mutualism parasitism food web module

A Khan, T Abdeljawad, JF Gomez-Aguilar… - Chaos, Solitons & …, 2020 - Elsevier
In literature, many researchers have examined food web modules for different aspects and
kinds such as exploitative competition, energy flow web, apparent competition, source web …

[HTML][HTML] Fractal-fractional mathematical modeling and forecasting of new cases and deaths of COVID-19 epidemic outbreaks in India

MA Abdulwasaa, MS Abdo, K Shah, TA Nofal… - Results in Physics, 2021 - Elsevier
Fractional-order derivative-based modeling is very significant to describe real-world
problems with forecasting and analyze the realistic situation of the proposed model. The aim …

Fractional economic models based on market equilibrium in the frame of different type kernels

B Acay, E Bas, T Abdeljawad - Chaos, Solitons & Fractals, 2020 - Elsevier
Overall objectives of this paper are to investigate and analyze certain problems in
economics by means of non-local fractional operators involving Caputo, Caputo–Fabrizio in …

Mathematical analysis of memristor through fractal‐fractional differential operators: a numerical study

KA Abro, A Atangana - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
The newly generalized energy storage component, namely, memristor, which is a
fundamental circuit element so called universal charge‐controlled mem‐element, is …

Role of fractal–fractional derivative on ferromagnetic fluid via fractal Laplace transform: A first problem via fractal–fractional differential operator

KA Abro - European Journal of Mechanics-B/Fluids, 2021 - Elsevier
A deformity of magnetic field discloses that different particle of ferrofluid exhibits different
pattern to accumulate more closely with strong magnetic properties; this is because of the …