The 1st level general fractional derivatives and some of their properties
DOI10.1007/s10958-022-06055-9arXiv2206.02154OpenAlexW4297486052MaRDI QIDQ6188021
Publication date: 1 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.02154
Sonin conditionfirst level general fractional derivativefundamental theorems of fractional calculusgeneral fractional derivative of Caputo typegeneral fractional derivative of Riemann-Liouville typeSonin kernel
Convolution as an integral transform (44A35) Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Calculus of Mikusi?ski and other operational calculi (44A40) Laplace transform (44A10) Other functions coming from differential, difference and integral equations (33E30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Volterra integral equations (45D05)
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