Dynamical analysis, infections in plants, and preventive policies utilizing the theory of fractional calculus
Farmers are trying to adopt new cultivation methods and technologies to produce more and
good yield. Low productivity is due to a variety of factors; one of the main reasons is the …
good yield. Low productivity is due to a variety of factors; one of the main reasons is the …
[PDF][PDF] Fractional-Order System Modeling and its Applications.
In order to control or operate any system in a closed-loop, it is important to know its behavior
in the form of mathematical models. In the last two decades, a fractional-order model has …
in the form of mathematical models. In the last two decades, a fractional-order model has …
Observations of fractional effects of β-derivative and M-truncated derivative for space time fractional Phi-4 equation via two analytical techniques
The presented work deals with the investigation of space time fractional Phi-4 model which
has great importance in particle and nuclear physics. Two eminent techniques, namely, the …
has great importance in particle and nuclear physics. Two eminent techniques, namely, the …
Soliton solutions to the DNA Peyrard–Bishop equation with beta-derivative via three distinctive approaches
In this paper, we explore the DNA dynamic equation arising in the oscillator-chain named as
Peyrard–Bishop model for abundant solitary wave solutions. The aforesaid model is studied …
Peyrard–Bishop model for abundant solitary wave solutions. The aforesaid model is studied …
A survey of single and multi-component Fractional-Order Elements (FOEs) and their applications
Fractional-Order circuits and networks being a widely researched field lags in its
development due to the non-availability of its basic building block ie Fractional-Order …
development due to the non-availability of its basic building block ie Fractional-Order …
[HTML][HTML] Novel exact solutions of the fractional Bogoyavlensky–Konopelchenko equation involving the Atangana-Baleanu-Riemann derivative
The main goal of this paper is to discover some new analytical solutions of a fractional form
of the Bogoyavlensky–Konopelchenko equation via two new analytical schemes. This model …
of the Bogoyavlensky–Konopelchenko equation via two new analytical schemes. This model …
Exact special solutions of space–time fractional Cahn–Allen equation by beta and M-truncated derivatives
In this paper, we consider the nonlinear space–time fractional form of Cahn–Allen equation
(FCAE) with beta and M-truncated derivatives. Cahn–Allen equation (CAE) is commonly …
(FCAE) with beta and M-truncated derivatives. Cahn–Allen equation (CAE) is commonly …
[HTML][HTML] Numerical solutions of fractional-order electrical rlc circuit equations via three numerical techniques
In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA),
Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical …
Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical …
On the dynamics of fractional maps with power-law, exponential decay and Mittag–Leffler memory
LF Avalos-Ruiz, JF Gomez-Aguilar, A Atangana… - Chaos, Solitons & …, 2019 - Elsevier
In this paper, we propose a fractional form of two-dimensional generalized mythical bird,
butterfly wings and paradise bird maps involving the fractional conformable derivative of …
butterfly wings and paradise bird maps involving the fractional conformable derivative of …
[HTML][HTML] Impulsive Hilfer fractional differential equations
HM Ahmed, MM El-Borai, HM El-Owaidy… - Advances in Difference …, 2018 - Springer
Existence and controllability results for nonlinear Hilfer fractional differential equations are
studied. Sufficient conditions for existence and approximate controllability for Sobolev-type …
studied. Sufficient conditions for existence and approximate controllability for Sobolev-type …