New method for solving fractional partial integro-differential equations by combination of Laplace transform and resolvent kernel method
Jian Rong Loh, Chang Phang, Kim Gaik Tay
Topics & Concepts
Laplace transformMathematicsResolventKernel (algebra)Integral transformLaplace transform applied to differential equationsVolterra integral equationIntegral equationMathematical analysisConvolution (computer science)Integro-differential equationInverse Laplace transformMellin transformApplied mathematicsGreen's function for the three-variable Laplace equationFractional calculusTwo-sided Laplace transformPartial differential equationFractional Fourier transformFourier transformPure mathematicsFirst-order partial differential equationComputer scienceFourier analysisMachine learningArtificial neural networkFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNonlinear Differential Equations Analysis