Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions

• Published in: Computers & mathematics with applications (1987) Vol. 73; no. 6; pp. 1243 - 1261
• Main Author: Abu Arqub, Omar
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 15.03.2017; Elsevier BV
• Subjects: (Heat, cable, anomalous subdiffusion, reaction subdiffusion, Fokker–Planck, Fisher’s, and Newell–Whitehead) equations; Boundary conditions; Chemical reactions; Computer simulation; Elasticity; Exact solutions; Fluid mechanics; Hilbert space; Image acquisition; Mathematical models; Neumann boundary conditions; Partial differential equations; Population growth; Reproducing kernel Hilbert space method; Studies; Time-fractional partial differential equations; Time-fractional partial differential equations; Reproducing kernel Hilbert space method; Neumann boundary conditions; (Heat, cable, anomalous subdiffusion, reaction subdiffusion, Fokker–Planck, Fisher’s, and Newell–Whitehead) equations

Latterly, many problems arising in different fields of science and engineering can be reduced, by applying some appropriate discretization, to a series of time-fractional partial differential equations. Unlike the normal case derivative, the differential order in such equations is with a fractional...