Certain fractional calculus and integral transform results of incomplete ℵ‐functions with applications
Manish Kumar Bansal, Devendra Kumar, Kottakkaran Sooppy Nisar, Jagdev Singh
Abstract
In this paper, we study certain interesting and useful properties of incomplete ‐functions. The incomplete ‐function is an extension of the ‐function. We find several useful classical integral transforms of these functions. Further, we examine the fractional calculus with the incomplete ‐functions and point out several special cases. Finally, we give the applications of incomplete ‐functions in detecting glucose supply in human blood.
Topics & Concepts
MathematicsFractional calculusCalculus (dental)Extension (predicate logic)Function (biology)Integral transformApplied mathematicsMathematical analysisComputer scienceDentistryEvolutionary biologyMedicineProgramming languageBiologyFractional Differential Equations SolutionsMathematical and Theoretical AnalysisIterative Methods for Nonlinear Equations