Generalized fractional derivatives and Laplace transform
F Jarad, T Abdeljawad - 2020 - earsiv.cankaya.edu.tr
In this article, we study generalized fractional derivatives that contain kernels depending on
a function on the space of absolute continuous functions. We generalize the Laplace …
a function on the space of absolute continuous functions. We generalize the Laplace …
On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative
In this paper, we discuss the conditions of existence and uniqueness of solutions to a certain
class of ordinary differential equations involving Atangana–Baleanu fractional derivative …
class of ordinary differential equations involving Atangana–Baleanu fractional derivative …
On a new class of fractional operators
On a new class of fractional operators | Advances in Continuous and Discrete Models Skip to
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main content SpringerLink Account Menu Find a journal Publish with us Track your research …
On some new properties of fractional derivatives with Mittag-Leffler kernel
We establish a new formula for the fractional derivative with Mittag-Leffler kernel, in the form
of a series of Riemann–Liouville fractional integrals, which brings out more clearly the non …
of a series of Riemann–Liouville fractional integrals, which brings out more clearly the non …
On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
In this paper, we aim to analyze the complicated dynamical motion of a quarter-car
suspension system with a sinusoidal road excitation force. First, we consider a new …
suspension system with a sinusoidal road excitation force. First, we consider a new …
Generalized fractional derivatives generated by a class of local proportional derivatives
Abstract Recently, Anderson and Ulness [Adv. Dyn. Syst. Appl. 10, 109 (2015)] utilized the
concept of the proportional derivative controller to modify the conformable derivatives. In …
concept of the proportional derivative controller to modify the conformable derivatives. In …
A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence
The main objective of this research is to investigate a new fractional mathematical model
involving a nonsingular derivative operator to discuss the clinical implications of diabetes …
involving a nonsingular derivative operator to discuss the clinical implications of diabetes …
A modified Laplace transform for certain generalized fractional operators
F Jarad, T Abdeljawad - Results in Nonlinear Analysis, 2018 - dergipark.org.tr
It is known that Laplace transform converges for functions of exponential order. In order to
extend the possibility of working in a large class of functions, we present a modified Laplace …
extend the possibility of working in a large class of functions, we present a modified Laplace …
A fractional order HIV‐TB coinfection model with nonsingular Mittag‐Leffler Law
The biological models for the study of human immunodeficiency virus (HIV) and its
advanced stage acquired immune deficiency syndrome (AIDS) have been widely studied in …
advanced stage acquired immune deficiency syndrome (AIDS) have been widely studied in …
Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel
In the Nidovirales order of the Coronaviridae family, where the coronavirus (crown‐like
spikes on the surface of the virus) causing severe infections like acute lung injury and acute …
spikes on the surface of the virus) causing severe infections like acute lung injury and acute …