cauchy formula
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scholarly journals Cauchy Formula for Affine SDE with Skorohod Integral

2019 ◽  
Vol 7 (4) ◽  
Author(s):  
Alexander Vadimovich Ilchenko
Keyword(s):  
Cauchy Formula ◽  
Skorohod Integral

scholarly journals An Analog of the Cauchy Formula for Certain Beltrami Equation

2019 ◽  
Vol 161 (4) ◽  
pp. 536-542
Author(s):  
D.B. Katz ◽  
◽  
B.A. Kats ◽  
Keyword(s):  
Beltrami Equation ◽  
Cauchy Formula

scholarly journals Cauchy formula and the character ring

2019 ◽  
Vol 79 (1) ◽  
Author(s):  
A. Morozov
Keyword(s):  
Cauchy Formula ◽  
Character Ring

Cauchy problems involving a Hadamard-type fractional derivative

2018 ◽  
Vol 68 (6) ◽  
pp. 1353-1366
Author(s):  
Rafał Kamocki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fractional Derivative ◽  
Unique Solution ◽  
Nonlinear Problem ◽  
Point Theorem ◽  
Linear Problem ◽  
Cauchy Formula ◽  
Cauchy Problems

Abstract In this paper, we investigate some Cauchy problems involving a left-sided Hadamard-type fractional derivative. A theorem on the existence of a unique solution to a nonlinear problem is proved. The main result is obtained using a fixed point theorem due to Banach, as well as the Bielecki norm. A Cauchy formula for the solution of the linear problem is derived.

scholarly journals Scalar products of the elliptic Felderhof model and elliptic Cauchy formula

2018 ◽  
Vol 134 ◽  
pp. 58-76 ◽  
Author(s):  
Kohei Motegi
Keyword(s):  
Cauchy Formula ◽  
Scalar Products

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

2018 ◽  
Vol 2 (1) ◽  
pp. 11-32
Author(s):  
Leigh C. Becker ◽  
Ioannis K. Purnaras
Keyword(s):  
Cauchy Formula ◽  
Fractional Relaxation
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