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Numerical Solution of Fractional Model for Heat Conduction in Polar Bear Hairs Equation by q- homotopy Analysis Method (q-HAM)
(IJMAA, 2017)
In this paper, we consider the fractional model for heat conduction in polar bear hairs equation. A relatively new method called the q-homotopy analysis method (q-HAM) is adopted to obtain an analytical solution of the ...
Prediction studies of the epidemic peak of coronavirus disease in Japan: From Caputo derivatives to Atangana-Baleanu derivatives
(World Scientific, 2021-09-30)
New atypical pneumonia caused by a virus called Coronavirus (COVID-19) appeared in Wuhan, China in December 2019. Unlike previous epidemics due to the severe acute respiratory syndrome (SARS) and the Middle East respiratory ...
Stability results and existence for fractional differential equation involving Atangana-Baleanu derivative with nonlocal integral conditions
(Springer, 2022-08-21)
This article�s main objective is to derive the existence criterion for positive solutions and establish Hyers-Ulam (HU) stability of the fractional differential equations (FDEs).This equation is studies with nonlocal ...
Stability analysis of neutral delay fractional differential equations with Erdelyi�Kober fractional integral boundary conditions
(Elsevier B.V., 2023-08-11)
The primary focus of this article is to provide sufficient conditions for the Ulam�Hyers stability of neutral delay fractional differential equations involving Hilfer fractional derivatives and Erdelyi�Kober fractional ...
Existence Results of Langevin Equations with Caputo-Hadamard Fractional Operator
(Hindawi Limited, 2023-06-24)
In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo-Hadamard and Caputo fractional operators, with nonperiodic and nonlocal integral boundary conditions. The ...
On the Mild Solutions of Impulsive Semilinear Fractional Evolution Equations
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)
In this manuscript, we establish the existence result of mild solutions for semilinear fractional evolution equations of order 1 < ?< 2 with impulsive conditions. The existence result is obtained by means of analytic ...
Mild solutions of coupled hybrid fractional order system with caputo-hadamard derivatives
(World Scientific, 2021-05-15)
This paper is devoted to prove the existence of mild solutions of coupled hybrid fractional order system with Caputo-Hadamard derivatives using Dhage fixed point theorem in Banach algebras. In order to confirm the applicability ...
COMPUTATIONAL STUDY OF FRACTIONAL-ORDER VECTOR BORNE DISEASES MODEL
(World Scientific, 2022-01-25)
In this paper, we solve a nonlinear fractional-order model for analyzing the dynamical behavior of vector-borne diseases within the frame of Caputo-fractional derivative. The proposed mathematical model advances the existing ...
Existence and stability results for fractional-order pantograph differential equations involving Riemann-Liouville and Caputo fractional operators
(Springer Science and Business Media Deutschland GmbH, 2022-09-12)
In this present manuscript, the existence and uniqueness of solution for fractional-order pantograph differential equations with Riemann-Liouville and Caputo fractional operators are investigated by using Banach�s fixed ...
A New Computational Procedure for the Solution of the Time-fractional Advection Problem
(American Institute of Physics Inc., 2022-10-07)
This paper attempts to establish a new procedure to approximate the solution of the time-fractional Advection Problem. Fractional derivative is used in a conformable time sense. The solution is obtained by using a modified ...