... Chebyshev wavelet Tempered Caputo fractional derivatives Diffusion-type equation Nonlinear tempered Caputo fractional equation L2 − 1σ algorithm Sum-of-exponentials approximation 65N35 65M70 Fractional differential equations are a generalization of integer-order differential...

...-order diffusion-type equations Approximations Theoretical analysis 65N35 65M70 (2.7) D ξ β ( ξ ) ⁡ sin ( ω ξ ) = − ω 3 ξ 3 − β ( ξ ) E 2,4 − β ( ξ ) ( − ω 2 ξ 2 ) , 1 < β ( ξ...

... Multidimensional PDEs MSC2010 65N35 65N12 41A58 where c n ( x , y ) represent the spatial parts of the u ( x , y , t ) , α n = 1 for interior points and α 0 = α N = 1 / 2 for any time boundary point. In equation (7) , T ¯ n...

... Convergence analysis Numerical simulation 65N35 65M70 Fractional differential equations are getting more attention from many researchers due to their application in a vast field of engineering and sciences. We refer the readers to Podlubny (1999), for applications of fractional differential...

...-fractional delay differential equation Error analysis Convergence analysis New operational matrices Quasilinearization technique 65N35 65M70 Delay differential equations have a wide variety of applications in mathematical modeling such as population dynamics, electro-dynamic, chemical...

... Caputo–Hadamard fractional differential equations CAS wavelets Operational matrices Caputo–Hadamard fractional derivative Hadamard–type fractional integral Convergence Quasilinearization 65M70 65N35 Fractional differential equations are the generalization of the integer order...

... ϕ ( x , t ) = B 3 ( x , t ) ,   x ∈ ∂ Ω , 65N35 65M70 with real functions B₁, B₂ and B₃. Moreover, g (x ,t) and f (x ,t) = f₁ (x ,t) + if₂ (x...