4.6 Article

A new computational technique for the analytic treatment of time-fractional Emden-Fowler equations

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

A mathematical analysis of ongoing outbreak COVID-19 in India through nonsingular derivative

Kiran Malathesha Safare et al.

Summary: This study focuses on analyzing the evolution of COVID-19 in India through different time periods, demonstrating the exponential growth of cases and discussing the necessity of controlling its spread. Additionally, a new mathematical method is proposed to solve related nonlinear systems, proving its feasibility and uniqueness, and emphasizing the importance of fractional operators.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2021)

Article Mathematics, Interdisciplinary Applications

A POWERFUL ITERATIVE APPROACH FOR QUINTIC COMPLEX GINZBURG-LANDAU EQUATION WITHIN THE FRAME OF FRACTIONAL OPERATOR

Shao-Wen Yao et al.

Summary: This paper aims to find the iterative solution for the generalized quintic complex Ginzburg-Landau equation using fractional natural decomposition method (FNDM) within the frame of fractional calculus, demonstrating its efficiency and applicability. The obtained results' nature is presented in three distinct cases, illustrated with surfaces and contour plots for a particular fractional order, and plots with different fractional orders are presented to show the essence of incorporating the fractional concept into the system exemplifying nonlinear complex phenomena. The investigation confirms the efficiency and applicability of the considered method and fractional operators in analyzing phenomena in science and technology.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2021)

Article Mathematics, Applied

Dynamics of a fractional epidemiological model with disease infection in both the populations

Chandrali Baishya et al.

Summary: In this study, a fractional-order model is developed to depict the spread of infection from prey to predator. The dynamics of the model in terms of boundedness, uniqueness, and existence of solutions are surveyed. Threshold parameters are introduced to analyze equilibrium points and stability conditions, investigating global stability of various points. The novelty lies in the incorporation of fractional derivative and multiple infection pathways in the system.

CHAOS (2021)

Article Physics, Multidisciplinary

Fractional approach for analysis of the model describing wind-influenced projectile motion

P. Veeresha et al.

Summary: In this paper, the solution to coupled equations describing projectile motion with wind-influence is found using the q-homotopy analysis transform method (q-HATM). The proposed method combines q-homotopy analysis scheme and Laplace transform, while defining fractional derivative with Caputo-Fabrizio (CF) operator. The achieved consequences demonstrate that the solution procedure is easy to implement, highly systematic, and accurate in analyzing nonlinear differential equations of integer and fractional order.

PHYSICA SCRIPTA (2021)

Article Mathematics, Applied

An efficient computational technique for time-fractional Kaup-Kupershmidt equation

Doddabhadrappla Gowda Prakasha et al.

Summary: The study applied the q-homotopy analysis transform method to solve the time-fractional Kaup-Kupershmidt equation and verified its accuracy and reliability through numerical simulations, demonstrating its strong applicability for handling highly nonlinear problems.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2021)

Article Engineering, Marine

Analysis of Lakes pollution model with Mittag-Leffler kernel

D. G. Prakasha et al.

JOURNAL OF OCEAN ENGINEERING AND SCIENCE (2020)

Article Engineering, Multidisciplinary

Solution for fractional generalized Zakharov equations with Mittag-Leffler function

P. Veeresha et al.

RESULTS IN ENGINEERING (2020)

Article Mathematics, Applied

Numerical simulation and solutions of the two-component second order KdV evolutionary system

Asif Yokus et al.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2018)

Article Mathematics, Applied

A closed form expression for the Gaussian-based Caputo-Fabrizio fractional derivative for signal processing applications

Jorge M. Cruz-Duarte et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2018)

Article Mathematics, Applied

A modified numerical scheme and convergence analysis for fractional model of Lienard's equation

Devendra Kumar et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2018)

Article Mathematics, Interdisciplinary Applications

Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations

Dumitru Baleanu et al.

CHAOS SOLITONS & FRACTALS (2017)

Article Engineering, Multidisciplinary

An efficient analytical technique for fractional model of vibration equation

H. M. Srivastava et al.

APPLIED MATHEMATICAL MODELLING (2017)

Article Mathematics, Applied

An elegant exact solutions for the Emden-Fowler equations of the first kind

Afgan Aslanov

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2016)

Article Mathematics

A novel approach for numeric study of 2D biological population model

Brajesh Kumar Singh

COGENT MATHEMATICS (2016)

Article Engineering, Multidisciplinary

Numerical solution of time- and space-fractional coupled Burgers' equations via homotopy algorithm

Jagdev Singh et al.

ALEXANDRIA ENGINEERING JOURNAL (2016)

Article Mechanics

Solving New Fourth-Order Emden-Fowler-Type Equations by the Adomian Decomposition Method

Abdul-Majid Wazwaz et al.

INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS (2015)

Article Mathematics, Applied

On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument

Alexander Domoshnitsky et al.

ABSTRACT AND APPLIED ANALYSIS (2014)

Article Engineering, Multidisciplinary

A Fractional Model of Continuum Mechanics

C. S. Drapaca et al.

JOURNAL OF ELASTICITY (2012)