Title of article
Caputo q-fractional initial value problems and a q-analogue Mittag–Leffler function
Author/Authors
Abdeljawad، نويسنده , , Thabet and Baleanu، نويسنده , , Dumitru، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
7
From page
4682
To page
4688
Abstract
Caputo q-fractional derivatives are introduced and studied. A Caputo -type q-fractional initial value problem is solved and its solution is expressed by means of a new introduced q-Mittag–Leffler function. Some open problems about q-fractional integrals are proposed as well.
Keywords
Left q-fractional integral , Caputo left and right q-fractional derivatives , Right q-fractional integral , Q-operator , q-Mittag–Leffler function , Time scale
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2011
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1536507
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