On the implementation of fractional homotopy perturbation transform method to the Emden–Fowler equations

[1]  H. M. Baskonus,et al.  Deeper investigation of modified epidemiological computer virus model containing the Caputo operator , 2022, Chaos, Solitons & Fractals.

[2]  P. Veeresha,et al.  An efficient technique to analyze the fractional model of vector-borne diseases , 2022, Physica Scripta.

[3]  T. Tanriverdi,et al.  A study on Caudrey–Dodd–Gibbon–Sawada–Kotera partial differential equation , 2022, Mathematical Methods in the Applied Sciences.

[4]  E. Ziada Numerical solution for multi-term fractional delay differential equations , 2021, Journal of Fractional Calculus and Nonlinear Systems.

[5]  T. Abdeljawad,et al.  Analytical Solutions of Fuzzy Linear Differential Equations in the Conformable Setting , 2021, Journal of Fractional Calculus and Nonlinear Systems.

[6]  D. G. Prakasha,et al.  A new computational technique for the analytic treatment of time-fractional Emden-Fowler equations , 2021, Math. Comput. Simul..

[7]  Haci Mehmet Baskonus,et al.  Regarding New Traveling Wave Solutions for the Mathematical Model Arising in Telecommunications , 2021, Advances in Mathematical Physics.

[8]  Ashok Kumar V,et al.  Numerical analysis of nonlinear fractional Klein–Fock–Gordon equation arising in quantum field theory via Caputo–Fabrizio fractional operator , 2021, Mathematical Sciences.

[9]  Arya Mohit,et al.  A Modified Iterative Method for Solving Nonlinear Functional Equation , 2020, Applied Mathematics and Nonlinear Sciences.

[10]  S. Kadry,et al.  Numerical simulation of advection–diffusion equation with caputo-fabrizio time fractional derivative in cylindrical domains: Applications of pseudo-spectral collocation method , 2020 .

[11]  A. Atangana,et al.  Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data , 2020 .

[12]  Mohammed S Abdo,et al.  Existence theory and numerical analysis of three species prey–predator model under Mittag-Leffler power law , 2020, Advances in difference equations.

[13]  Haci Mehmet Baskonus,et al.  New Numerical Results for the Time-Fractional Phi-Four Equation Using a Novel Analytical Approach , 2020, Symmetry.

[14]  Said R. Grace,et al.  Oscillation criteria for second‐order Emden–Fowler delay differential equations with a sublinear neutral term , 2020, Mathematische Nachrichten.

[15]  Thabet Abdeljawad,et al.  Stability and numerical simulation of a fractional order plant-nectar-pollinator model , 2020 .

[16]  Haci Mehmet Baskonus,et al.  Complex Patterns to the (3+1)-Dimensional B-type Kadomtsev-Petviashvili-Boussinesq Equation , 2019, Symmetry.

[17]  Aziz Khan,et al.  Analytical solutions of time-fractional wave equation by double Laplace transform method , 2019, The European Physical Journal Plus.

[18]  Minghua Chen,et al.  A second-order accurate scheme for two-dimensional space fractional diffusion equations with time Caputo-Fabrizio fractional derivative , 2019, 1903.02720.

[19]  Thabet Abdeljawad,et al.  Fractional logistic models in the frame of fractional operators generated by conformable derivatives , 2019, Chaos, Solitons & Fractals.

[20]  Haci Mehmet Baskonus,et al.  New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives. , 2019, Chaos.

[21]  N. Raza,et al.  Unsteady magneto-hydrodynamics flow between two orthogonal moving porous plates , 2019, The European Physical Journal Plus.

[22]  Arturo Garcia-Perez,et al.  A closed form expression for the Gaussian-based Caputo-Fabrizio fractional derivative for signal processing applications , 2018, Commun. Nonlinear Sci. Numer. Simul..

[23]  Abdon Atangana,et al.  Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system , 2017 .

[24]  Yuri V. Rogovchenko,et al.  Oscillation criteria for second-order superlinear Emden–Fowler neutral differential equations , 2017 .

[25]  Carlo Cattani,et al.  Fractal and Fractional , 2017 .

[26]  A. Aslanov An elegant exact solutions for the Emden–Fowler equations of the first kind , 2016 .

[27]  A. Wazwaz,et al.  Solving New Fourth–Order Emden–Fowler-Type Equations by the Adomian Decomposition Method , 2015 .

[28]  R. Agarwal,et al.  Oscillation of second-order Emden–Fowler neutral delay differential equations , 2014 .

[29]  Jitendra Kumar,et al.  An efficient numerical technique for the solution of nonlinear singular boundary value problems , 2014, Comput. Phys. Commun..

[30]  Ryuji Kajikiya,et al.  Non-even positive solutions of the one-dimensional p-Laplace Emden-Fowler equation , 2012, Appl. Math. Lett..

[31]  J. Stillwell,et al.  Symmetry , 2000, Am. Math. Mon..

[32]  J. Wong,et al.  On the Generalized Emden–Fowler Equation , 1975 .

[33]  C. Lacor,et al.  Chaos , 1876, Molecular Vibrations.

[34]  Onur Alp Ilhan,et al.  New complex wave structures to the complex Ginzburg-Landau model , 2021 .

[35]  A. Ciancio,et al.  Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation , 2021, AIMS Mathematics.

[36]  Li Yan,et al.  Newly Developed Analytical Scheme and Its Applications to the Some Nonlinear Partial Differential Equations with the Conformable Derivative , 2021 .

[37]  T. Abdeljawad,et al.  On the iterative methods for solving fractional initial value problems: new perspective , 2021 .

[38]  C. Cattani,et al.  Complex solitons in the conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation , 2020 .