Open AccessExistence of solutions of BVPs for impulsive fractional Langevin equations involving Caputo fractional derivatives
Author(s) -
Yuji Liu,
Ravi P. Agarwal
Publication year - 2019
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1905-23
Subject(s) - fractional calculus , mathematics , piecewise , boundary values , derivative (finance) , boundary value problem , mathematical analysis , financial economics , economics
The standard Caputo fractional derivative is generalized for the piecewise continuous functions. A more general boundary value problem for the impulsive Langevin fractional differential equation involving the Caputo fractional derivatives is studied. New existence results for solutions of concerned problems are established.
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