scholarly journals Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions

2021 ◽  
Vol -1 (-1) ◽  
Author(s):  
Karsten Kruse
Keyword(s):  
Laplace Transforms ◽  
Fourier And Laplace Transforms ◽  
Vector Valued

scholarly journals Wronskians of Fourier and Laplace transforms

2019 ◽  
Vol 372 (6) ◽  
pp. 4107-4125
Author(s):  
Dimitar K. Dimitrov ◽  
Yuan Xu
Keyword(s):  
Laplace Transforms ◽  
Fourier And Laplace Transforms

scholarly journals A Subordination Principle on Wright Functions and Regularized Resolvent Families

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Luciano Abadias ◽  
Pedro J. Miana
Keyword(s):  
Fractional Calculus ◽  
Lévy Processes ◽  
Levy Processes ◽  
Laplace Transforms ◽  
Cauchy Problems ◽  
Convolution Properties ◽  
Vector Valued ◽  
Resolvent Families

We obtain a vector-valued subordination principle forgα,gβ-regularized resolvent families which unified and improves various previous results in the literature. As a consequence, we establish new relations between solutions of different fractional Cauchy problems. To do that, we consider scaled Wright functions which are related to Mittag-Leffler functions, the fractional calculus, and stable Lévy processes. We study some interesting properties of these functions such as subordination (in the sense of Bochner), convolution properties, and their Laplace transforms. Finally we present some examples where we apply these results.

Vector-valued Laplace Transforms and Cauchy Problems

2011 ◽  
Author(s):  
Wolfgang Arendt ◽  
Charles J.K. Batty ◽  
Matthias Hieber ◽  
Frank Neubrander
Keyword(s):  
Laplace Transforms ◽  
Cauchy Problems ◽  
Vector Valued
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