A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations
Author(s) -
Fatima A. Alawad,
Eltayeb A. Yousif,
Arbab I. Arbab
Publication year - 2013
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2013/256593
Subject(s) - mathematics , laplace transform , lagrange multiplier , telegrapher's equations , mathematical analysis , multiplier (economics) , iterative method , space (punctuation) , fractional calculus , mathematical optimization , computer science , telecommunications , transmission line , economics , macroeconomics , operating system
In this paper, the exact solutions of space-time fractional telegraph equations are given in terms of Mittage-Leffler functions via a combination of Laplace transform and variational iteration method. New techniques are used to overcome the difficulties arising in identifying the general Lagrange multiplier. As a special case, the obtained solutions reduce to the solutions of standard telegraph equations of the integer orders
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