Homotopy analysis method for solving Abel differential equation of fractional order

Artikel in diesem Heft

1. Fractional calculus: theory and numerical methods
2. On the multi-index (3m-parametric) Mittag-Leffler functions, fractional calculus relations and series convergence
3. Numerical solutions and analysis of diffusion for new generalized fractional advection-diffusion equations
4. Vectorial fractional integral inequalities with convexity
5. On the origin of space
6. Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term
7. Linear discrete systems with memory: a generalization of the Langmuir model
8. Dynamical process of complex systems and fractional differential equations
9. A fractional approach to the Sturm-Liouville problem
10. Diffusion problems on fractional nonlocal media
11. A discrete time method to the first variation of fractional order variational functionals
12. Dynamics of a backlash chain
13. A finite volume method for solving the two-sided time-space fractional advection-dispersion equation
14. Fundamental solutions to time-fractional heat conduction equations in two joint half-lines
15. Fractional nonlinear systems with sequential operators
16. Exact solution for the fractional cable equation with nonlocal boundary conditions
17. Riemann-Liouville and Caputo type multiple Erdélyi-Kober operators
18. Singular fractional evolution differential equations
19. An expansion formula for fractional derivatives of variable order
20. RLC electrical circuit of non-integer order
21. Analysis on the time and frequency domain for the RC electric circuit of fractional order
22. Numerical solution of fractional differential equations by using fractional B-spline
23. Existence and approximation of solutions of fractional order iterative differential equations
24. Two methods to solve a fractional single phase moving boundary problem
25. Variational iteration method — a promising technique for constructing equivalent integral equations of fractional order
26. Nonlocal Cauchy problems for fractional order nonlinear differential systems
27. Fractional-order TV-L2 model for image denoising
28. Existence of positive solutions for nonlocal boundary value problem of fractional differential equation
29. Numerical approach to the Caputo derivative of the unknown function
30. Finite difference scheme for the time-space fractional diffusion equations
31. On the generating function e xt+yϕ(t) and its fractional calculus
32. Legendre multiwavelet collocation method for solving the linear fractional time delay systems
33. Numerical solution of fractional differential equations via a Volterra integral equation approach
34. Fractional sub-equation method for the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation
35. Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions
36. Numerical approximations for fractional diffusion equations via a Chebyshev spectral-tau method
37. Reduced-order anti-synchronization of the projections of the fractional order hyperchaotic and chaotic systems
38. Dynamics analysis of fractional order Yu-Wang system
39. Homotopy analysis method for solving Abel differential equation of fractional order
40. Existence and uniqueness of a complex fractional system with delay