FRACTIONAL ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATION WITH MITTAG-LEFFLER KERNEL
Hasib Khan, Thabet Abdeljawad, J. F. Gómez‐Aguilar, Haleh Tajadodi, Aziz Khan
Abstract
In literature, the integro-differential equations (IDEs) are very much common in the engineering as well in the scientific fields for modeling of dynamical problems. There is a large number of contributions in the study of IDEs for the integer orders. But the cases in fractional order are limited and need consideration of the researchers in the area. In this paper, we initiate a study for fractional Volterra IDEs with Mittag-Leffler kernel for the existence, stability and numerical simulations. For the expression of the results, illustrative work is included.
Topics & Concepts
Kernel (algebra)MathematicsApplied mathematicsStability (learning theory)Differential equationIntegro-differential equationFractional calculusInteger (computer science)Volterra integral equationOrder (exchange)Work (physics)Integral equationMathematical analysisComputer sciencePure mathematicsFirst-order partial differential equationPhysicsProgramming languageEconomicsThermodynamicsMachine learningFinanceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods