Riemann–Liouville fractional operators of bicomplex order and its properties
Mahesh Puri Goswami, Raj Kumar
Abstract
In this paper, we construct the Riemann–Liouville fractional integral and differential operator of bicomplex order and illustrate some examples to calculate the fractional integration and differentiation of bicomplex order of some elementary bicomplex‐valued functions. Also, we discuss some properties of these operators by proving analogues of the semigroup property, Leibniz rule, chain rule, etc.
Topics & Concepts
MathematicsSemigroupOrder (exchange)Differential operatorFractional calculusOperator (biology)Pure mathematicsRiemann hypothesisAlgebra over a fieldMathematical analysisBiochemistryTranscription factorChemistryEconomicsFinanceGeneRepressorFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical and Theoretical Analysis