derivative, partial differential equations, Fractional diffusion equation, Fractional gas dynamical equation. 1. .... the inverse of operator, to both sides of (3.2), it is.
Department of Applied Mathematics, School for Physical Sciences, ... approximate solution of such type of fractional differential equations, among others ... The basic preliminaries on fractional calculus as appeared in [1-2] is revisited.
fractional Taylor's theorems, and then, we extend. RDTM for local fractional derivative. Theorem 1.10 (Local fractional Taylor's theorem). Suppose that f ((k + ...
WJM. 230 g, âBoundary-Layer Theory,â 7th Edition,. 2, pp. d (DTM). Injection Effects,â Chemical Engineering Communica- tions, Vol. 198, 2010, pp. 360-384.
beams are widely used in special structures such as blades of ... different numerical techniques, Finite Element Method. (FEM) has acquired ..... Matlab is used to write a computer code for ..... Journal of Solids and Structures, 41: 4861-4874. 7.
Mar 12, 2018 - Veeraraghavan Balaji , Jeremy, J. Farrar, T. Bryan, Grenfell. Predicting the Impact of. Vaccination on the Transmission Dynamics of Typhoid in ...
Abstract: In this paper we solve nonlinear system of partial differential equations using the new integral transform "Elzaki transform" and projected differential ...
This paper proposes another use of the Differential transform method (DTM) in obtaining approximate solutions to nonlinear partial differential equations (PDEs).
Abstract In this work, the applications of differential transform method were extended to singu- larly perturbed Volterra integral equations. To show the efficiency ...
1Department of Mathematics, University of Mazandaran, Babolsar, Iran ... 2005) is applied to solve the nonlinear reactionâdiffusionâconvection equation (1).
[18], F- expansion method [19], Weierstrass semi-rational expansion method [20] and ... http://dergi.cumhuriyet.edu.tr/ojs/index.php/fenbilimleri c 2013 Faculty of ...
Dec 15, 2011 - the Numeric-Analytic Solution of Fractional-Order ... Chaotic systems have a profound effect on its numerical solutions and highly sensitive.
[2] M. M. Al-Sawalha, M. S. M. Noorani, Application of the differential ... Rashidi, M. E. S. Ali, Z. G. Yang, Entropy generation on MHD Eyring-Powell nanofluid.
Keywords: Boundary value problems, differential transform method, two point boundary .... Using equations (6) and (7), values of Y (i) : i = 1, 2, 3, ··· are obtained.
(3.a) and the left hand side fractional integral: b1 α α -1. I u(x) = (s - x) u(s) ds. x b. Γ(α) x. ∫. , α > 0, b ∈R+. (3.b). 3. Variational Iteration Method, [4]:. To illustrate ..... 0.5. 2.5. 3.5. 3.75. 0.5. 0.75 n 1 n n n. 2 n. 6. 6. 6 y x. y x I
[8-11], the homotopy analysis method [12-14], the homotopy perturbation method (HPM) [15-17], the differential transform method (DTM) [18-21], Hirtoa's bilinear ...
this method results in the construction of an analytical ... Recently, local fractional derivative and calculus the- ..... J Comput Appl Math 2010; 234: 883â891. 9.
Key words: X-ray phase-contrast tomography, x-ray refractive index, iterative ..... [7] K. M. Pavlov, C. M. Kewish, J. R. Davis, and M. J. Morga, âA variant on the ...
cations in applied mathematics and engineering. Finding the solution ... Volterra integral equations the Yang-Laplace transform method can be applied successfully. In Section ... Recall the set Rα of real line numbers and use the Gao-Yang-.
The Riemann-Liouville derivative has certain disadvantages when trying to model real-world phenomena using fractional differential equations. Therefore, we ...
Differential Transform Method for Thermal Analysis of Exponential. Fins under Sensible and Latent Heat Transfer. Balaram Kundua,k, Ranjan Dasb, KwanYSoo ...