Terminal Value Problems of Non-homogeneous Fractional Linear Systems with General Memory Kernels
Guo–Cheng Wu, Babak Shiri, Fan Qin, Hua-Rong Feng
Abstract
Abstract Terminal value problems of fractional linear systems with non-homegenous terms are investigated in this paper for the first time. They are equivalent to a second kind weakly singular Volterra–Fredholm integral system. Picard’s method is used to obtain a closed form solution. The exact solution is checked to satisfy the terminal value problem. Numerical solutions are provided in comparison with truncated exact ones.
Topics & Concepts
MathematicsTerminal (telecommunication)HomogeneousValue (mathematics)Exact solutions in general relativityFractional calculusMathematical analysisApplied mathematicsVolterra integral equationTerminal valueIntegral equationCombinatoricsComputer scienceStatisticsCashEconomicsTelecommunicationsMacroeconomicsCash managementFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods