Fractional Relaxation Equations and a Cauchy Formula for Repeated Integration of the Resolvent

Fractional Relaxation Equations and a Cauchy Formula for Repeated Integration of the Resolvent

Cauchy’s formula for repeated integration is shown to be valid for the function R(t) = λΓ(q)t q−1Eq,q(−λΓ(q)t q ) where λ and q are given positive constants with q ∈ (0, 1), Γ is the Gamma function, and Eq,q is a MittagLeffler function. The function R is important in the study of Volterra integ...

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Bibliographic Details
Main Authors: Leigh C. Becker, Ioannis K. Purnaras
Format: Article
Language:English
Published: ATNAA 2018-01-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Cauchy’s formula for repeated integration
fractional differential equations
Mittag-Leffler functions
relaxation equations
resolvents
Riemann-Liouville operators
Volterra integral equations
Online Access:http://dergipark.gov.tr/download/article-file/596100

Internet

http://dergipark.gov.tr/download/article-file/596100

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