Method of directly defining the inverse mapping for nonlinear ordinary and partial fractional-order differential equations

DOI10.1007/978-981-19-9307-7_31MaRDI QIDQ6629134

Dulashini Karunarathna, Mangalagama Dewasurendra

Publication date: 29 October 2024

zbMATH Keywords

Abel differential equationRiccati differential equationfractional-order differential equationRosenau-Hyman equationmethod of directly defining the inverse mapping

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Cites Work

• On the method of directly defining inverse mapping for nonlinear differential equations
• On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative
• On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach
• Semi-analytical method for propagation of harmonic waves in nonlinear magneto-thermo-elasticity
• A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations
• A method of directly defining the inverse mapping for solutions of non-linear coupled systems arising in convection heat transfer in a second grade fluid
• A method of directly defining the inverse mapping for a nonlinear partial differential equation and for systems of nonlinear partial differential equations
• On the method of inverse mapping for solutions of coupled systems of nonlinear differential equations arising in nanofluid flow, heat and mass transfer

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