Accès libre

Analytic solution of fractional order Pseudo-Hyperbolic Telegraph equation using modified double Laplace transform method

À propos de cet article

Citez

Hashmi M.S., Aslam U., Singh J., Nisar K.S., An efficient numerical scheme for fractional model of telegraph equation, Alexandria Engineering Journal, 61(8), 6383-6393, 2022. Search in Google Scholar

Baleanu D., Sajjadi S.S., Jajarmi A., Defterli O., Asad J.H., The fractional dynamics of a linear triatomic molecule, Romanian Reports in Physics, 73(1), 105, 2021. Search in Google Scholar

Nisar K.S., Ciancio A., Ali K.K., Osman M.S., Cattani C., Baleanu D., Zafar A., Raheel M., Azeem M., On beta-time fractional biological population model with abundant solitary wave structures, Alexandria Engineering Journal, 61(3), 1996-2008, 2022. Search in Google Scholar

Ullah S., Khan M.A., Farooq M., A fractional model for the dynamics of TB virus, Chaos Solitons and Fractals, 116, 63-71, 2018. Search in Google Scholar

Butt A.I.K., Ahmad W., Rafiq M., Baleanu D., Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic, Alexandria Engineering Journal, 61(9), 7007-7027, 2022. Search in Google Scholar

Kirkpinar S., Abdulazeez S.T., Modanli M., Piecewise modeling of the transmission dynamics of contagious bovine pleuropneumonia depending on vaccination and antibiotic treatment, Fractals, 30(08), 2240217, 2022. Search in Google Scholar

Modanli M., Karadag K., Abdulazeez S.T., Solutions of the mobile-immobile advectiondispersion model based on the fractional operators using the Crank-Nicholson difference scheme, Chaos Solitons and Fractals, 167, 113114, 2023. Search in Google Scholar

Owolabi K.M., Atangana A., Akgul A., Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model, Alexandria Engineering Journal, 59(4), 2477-2490, 2020. Search in Google Scholar

Jajarmi A., Baleanu D., Vahid K.Z., Mobayen S., A general fractional formulation and tracking control for immunogenic tumor dynamics, Mathematical Methods in the Applied Sciences, 45(2), 667-680, 2022. Search in Google Scholar

Zhao Z., Li H., A continuous galerkin method for pseudo-hyperbolic equations with variable coefficients, Journal of Mathematical Analysis and Applications, 473(2), 1053-1072, 2019. Search in Google Scholar

Modanli M., Abdulazeez S.T., Husien A.M., A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions, Numerical Methods for Partial Differential Equations, 37(3), 2235-2243, 2021. Search in Google Scholar

Mesloub S., Aboelrish M.R., Obaidat S., Well posedness and numerical solution for a non-local pseudohyperbolic initial boundary value problem, International Journal of Computer Mathematics, 96(12), 2533-2547, 2019. Search in Google Scholar

Aliev A.B., Lichaei B.H., Existence and non-existence of global solutions of the Cauchy problem for higher order semilinear pseudo-hyperbolic equations, Nonlinear Analysis Theory, Methods and Applications, 72(7-8), 3275-3288, 2010. Search in Google Scholar

Ozkan O., Kurt A., Conformable fractional double Laplace transform and its applications to fractional partial integro-differential equations, Journal of Fractional Calculus and Applications, 11(1), 70-81, 2020. Search in Google Scholar

Modanli M., Akgul A., Numerical solution of fractional telegraph differential equations by theta method, The European Physical Journal Special Topics, 226, 3693-3703, 2017. Search in Google Scholar

Akgul A., Modanli M., Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu-Caputo derivative, Chaos Solitons and Fractals, 127, 10-16, 2019. Search in Google Scholar

Zheng Y., Zhao Z., The time discontinuous space-time finite element method for fractional diffusion-wave equation, Applied Numerical Mathematics, 150(C), 105-116, 2020. Search in Google Scholar

Khan H., Shah R., Kumam P., Baleanu D., Arif M., Laplace decomposition for solving nonlinear system of fractional order partial differential equations, Advances in Difference Equations, 2020(375), 1-18, 2020. Search in Google Scholar

Yepez-Martinez H., Gomez-Aguilar J.F., Fractional sub-equation method for Hirota-Satsuma coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative, Waves in Random and Complex Media, 29(4), 678-693, 2019. Search in Google Scholar

Osman W.M., Elzaki T.M., Siddig N.A.A., Modified double conformable Laplace transform and singular fractional pseudo-hyperbolic and pseudo-parabolic equations, Journal of King Saud University Science, 33(3), 101378, 2021. Search in Google Scholar

Shah F.A., Irfan M., Nisar K.S., Matoog R.T., Mahmoud E.E., Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions, Results in Physics, 24, 104123, 2021. Search in Google Scholar

Kaliraj K., Priya P.K.L., Ravichandran C., An explication of finite-time stability for fractional delay model with neutral impulsive conditions, Qualitative Theory of Dynamical Systems, 21(4), 161, 2022. Search in Google Scholar

Manjula M., Kaliraj K., Botmart T., Nisar K.S., Ravichandran C., Existence, uniqueness and approximation of nonlocal fractional differential equation of sobolev type with impulses, AIMS Mathematics, 8(2), 4645-4665, 2023. Search in Google Scholar

Morsy A., Nisar K.S., Ravichandran C., Anusha C., Sequential fractional order neutral functional integro differential equations on time scales with Caputo fractional operator over Banach spaces, AIMS Mathematics, 8(3), 5934-5949, 2023. Search in Google Scholar

Akinyemi L., Veeresha P., Ajibola S.O., Numerical simulation for coupled nonlinear Schrödinger-Korteweg-de Vries and Maccari systems of equations, Modern Physics Letters B, 35(20), 2150339, 2021. Search in Google Scholar

Veeresha P., Prakasha D.G., Singh J., Khan I., Kumar D., Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel, Advances in Difference Equations, 2020(174), 1-14, 2020. Search in Google Scholar

Modanli M., Bajjah B., Double Laplace decomposition method and finite difference method of time fractional Schrödinger pseudoparabolic partial differential equation with Caputo derivative, Journal of Mathematics, 2021(7113205), 1-10, 2021. Search in Google Scholar

Khan A., Khan T.S., Syam M.I., Khan H., Analytical solutions of time-fractional wave equation by double Laplace transform method, The European Physical Journal Plus, 134(4), 163, 2019. Search in Google Scholar

Abdulazeez S.T., Modanli M., Solutions of fractional order pseudo-hyperbolic telegraph partial differential equations using finite difference method, Alexandria Engineering Journal, 61(12), 12443-12451, 2022. Search in Google Scholar

Podlubny I., Fractional differential equations: An introduction to fractional derivatives, Academic Press, 1998. Search in Google Scholar

Modanli M., Comparison of Caputo and Atangana-Baleanu fractional derivatives for the pseudohyperbolic telegraph differential equations, Pramana, 96(7), 1-7, 2022. Search in Google Scholar

Dhunde R.R., Waghmare G.L., Double Laplace transform method for solving space and time fractional telegraph equations, International Journal of Mathematics and Mathematical Sciences, 2016(1414595), 1-8, 2016. Search in Google Scholar

Debnath L., The double Laplace transforms and their properties with applications to functional, integral and partial differential equations, International Journal of Applied and Computational Mathematics, 2, 223-241, 2016. Search in Google Scholar

eISSN:
2956-7068
Langue:
Anglais
Périodicité:
2 fois par an
Sujets de la revue:
Computer Sciences, other, Engineering, Introductions and Overviews, Mathematics, General Mathematics, Physics