TY - BOOK AU - Luchko, Yuri TI - Fractional Integrals and Derivatives: “True” versus “False&rdquo KW - fractional derivatives||fractional integrals||fractional calculus||fractional anti-derivatives||fractional operators||integral transforms||convergent series||fractional integral||fractional derivative||numerical approximation||translation operator||distributed lag||time delay||scaling||dilation||memory||depreciation||probability distribution||fractional models||fractional differentiation||distributed time delay systems||Volterra equation||adsorption||fractional differential equations||numerical methods||smoothness assumptions||persistent memory||initial values||existence||uniqueness||Crank–Nicolson scheme||weighted Shifted Grünwald–Letnikov approximation||space fractional convection-diffusion model||stability analysis||convergence order||Caputo–Fabrizio operator||Atangana–Baleanu operator||fractional falculus||general fractional derivative||general fractional integral||Sonine condition||fractional relaxation equation||fractional diffusion equation||Cauchy problem||initial-boundary-value problem||inverse problem||fractional calculus operators||special functions||generalized hypergeometric functions||integral transforms of special functions UR - https://mdpi.com/books/pdfview/book/3494 ER -