A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative. (English) Zbl 1496.35426
Summary: This work is devoted to the time fractional differential equations (TFDEs) with the Atangana-Baleanu-Riemann (ABR) fractional derivative and their analytical solutions. We generalize the Nucci’s reduction method to find the exact solutions of such equations. Different general solutions of nonlinear ABR fractional differential equations besides first integrals are discussed in different types such as soliton and implicit solutions.
MSC:
| 35R11 | Fractional partial differential equations |
| 35C05 | Solutions to PDEs in closed form |
| 35C08 | Soliton solutions |
Keywords:
Nucci’s reduction method; Atangana-Baleanu-Riemann fractional derivative; exact solution; soliton solutionSoftware:
PDESpecialSolutionsReferences:
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