International Journal of Mathematics Trends and Technology
Volume 64 | Number 2 | Year 2018 | Article Id. IJMTT-V64P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V64P516
In this paper, the Laplace Variational Iteration Method (LVIM)and the Caputo fuzzy fractional derivatives applied to find the exact fuzzy solution of the fuzzy space-time fractional telegraph equations. We present a new concept of solutions, we investigate the problem of finding new solutions. An example is given for which the new solutions are found.
[1] Fatima A. Alawad, Eltayeb A. Yousif and Arbab I. Arbab, A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations, International Journal of Differential Equations (2013), Article ID 256593, 10 pages (2013)
[2] A.I.Arbab,Derivation of Dirac, Klein-Gordon, Schrodinger, diffusion and quantum heat transport equations from the universal wave equation, Europhysics Letters, 92,Article ID 40001, (2010).
[3] G.Wu, E.w.M.Lee, Fractional variational iteration method and its application, Physics Letters A {374} 2506-2509 (2010)
[4] A.Sevimlican,{An approximation to solution of space and time fractional telegraph equations by He's variational iteration method,}
[5] Mathematical Problems in Engineering, {2010}, Article ID 290631, 10 pages, (2010).
[6] L.S.Chadli, A. Harir, S. Melliani,Fuzzy Euler Differential Equation, Annals of Fuzzy Mathematics and Informatics, ISSN(Print): 2373-8472,Volume 2, Number 1, January 2015.
[7] Y.Chalco-Cano, H. Roman-Flores,{On new solutions of fuzzy differential equations},Chaos, Solitons and Fractals {38} (2008) 112-119.
[8] P.Diamond, P.E. Kloeden,{Metric Spaces of Fuzzy Sets: Theory and Applications,}World Scienific, Singapore, 1994.
[9] M.Garg, P.Manohar, and S. L. Kalla,Generalized differential transformmethod to space-time fractional telegraph equation, International Journal of Differential Equations, {2011}, Article ID 548982, 9 pages, (2011).
[10] M.Garg and A. Sharma,Solution of space-time fractional telegraph equation by Adomian decomposition method,
[11] Journal of Inequalities and Special Functions, 2, 1-7, (2011).
[12] J.H.He, A variational iteration approach to nonlinear problems and its applications, Mechanic Applications 20 (1) (1998) 30-31.
[13] I.Podlubny, Fractional Differential Equations,{198} of Mathematics in Science and Engineering, Academic Press, New York, NY, USA, 1999.
[14] A.Khastan, F. Bahrami, K. Ivaz,New Results on Multiple Solutions for Nth-order Fuzzy Differential Equations under Generalized Differentiability, Boundary Value Problems, {2009}, Article ID 395714, 13 pages, (2009).
[15] M.Ma, M, Friedman, A. Kandel,A new fuzzy arithmetic, Fuzzy Sets and Systems 108 (1999) 83-90.
[16] M.Mazandarani, A.V. Kamyad,Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem,Commun Nonlinear Sci Numer Simulat {18} (2013) 12-21.
[17] Y.Molliq, M.S.M. Noorani, I. Hashim,Variational iteration method for fractional heat-like and wave-like equations, Nonlinear Analysis: Real World Applications 10 (2009) 1854-1869.
[18] M.N.Berberan-Santos, {Properties of the Mittag-Leffler relaxation function,} Journal of Mathematical Chemistry, 38,629-635, (2005).
Atimad Harir, Said Melliani, L.Saadia Chadli, "Fuzzy Space-Time Fractional Telegraph Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 64, no. 2, pp. 101-108, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V64P516
PDF 
Abstract 
Keywords 
References 
Citation