... Publishing Limited Licensed re-use rights only Fractional differential equations Quadrature method Caputo derivative Numerical solutions 34A08 65L07 (2.4) D a , c α H T ν ( x ) = x − c f ( x , ν ( x ) , D a , c β H T...

... analysis Caputo derivative Collocation technique TCB functions TFDE This section reviews some preliminaries in fractional calculus. Definition 2.1   A function f₁(t)∈ℝ, t>0 is said to be in the space C_μ, μ∈ℝ if there exist a real number...

... α and β are stated as: E γ , β ( t ) = ∑ k = o ∞ t k Γ ( γ k + β ) ,                       γ ,   β > 0. Caputo derivative Fractional partial differential equations Green-Haar method Haar wavelets Picard technique...

... 08 01 2019 03 04 2019 04 04 2019 © Emerald Publishing Limited 2019 Emerald Publishing Limited Licensed re-use rights only Legendre polynomials Differential quadrature method Caputo derivative Fractional differential equations Adam Bashforth method Runge–Kutta method...

... problems. Mujeeb ur Rehman can be contacted at: mujeeburrehman345@yahoo.com Numerical solutions Caputo derivative Fractional differential equations Quadrature method This section comprises main integration rules that will be used repeatedly to develop numerical method for fractional...

...‐fraction modified equal width wave equation Caputo derivative In Section 2, we are given briefly the definitions related to the fractional calculus theory. In Sections 3 and 4, the modified equal width equation is introduced and solved by the two‐dimensional differential transform method. Furthermore...