Integration by Parts and Its Applications of a New Nonlocal Fractional Derivative With Mittag-Leffler Nonsingular Kernel
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Abstract
In this manuscript we define the right fractional derivative and its corresponding right fractional integral for the newly suggested nonlocal fractional derivative with Mittag-Leffler kernel. Then, we obtain the related integration by parts formula. We use the Q-operator to confirm our results. The related Euler-Lagrange equations are reported and one illustrative example is discussed. (C) 2017 All rights reserved.
Description
Abdeljawad, Thabet/0000-0002-8889-3768
ORCID
Keywords
Fractional Calculus, Mittag-Leffler Function, Fractional Integration By Parts, Fractional Euler-Lagrange Equations, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mittag-Leffler function, fractional Euler-Lagrange equations, Fractional derivatives and integrals, fractional calculus, fractional integration by parts
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Abdeljawad, T., Baleanu, D. (2017). Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Journal Of Nonlinear Sciences And Applications, 10(3), 1098-1107. http://dx.doi.org/ 10.22436/jnsa.010.03.20
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OpenCitations Citation Count
257
Volume
10
Issue
3
Start Page
1098
End Page
1107
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