Fractional-Order Integral and Derivative Operators and Their Applications

In recent years, various families of fractional-order integral and derivative operators, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably important and fruitful, due mainly to their dem...

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Bibliographic Details
Format:	eBook
Language:	English
Published:	Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:	Mathematics and Science Research and information: general analytic functions Appell's functions approximate solution available potassium Banach space cardioid domain close-to-convex functions collocation points confluent hypergeometric function conic and generalized conic domains conic domains controllability convergence analysis convex functions correlation analysis coupled system desert soil differential subordination error analysis field spectrum fractional calculus fractional derivatives fractional differential equations fractional differential systems fractional diffusion equation fractional in time and space shallow-water system fractional integrals fractional order model fractional order Takagi-Sugeno models fractional order unknown input fuzzy observer Gauss hypergeometric function generating functions global solutions Hadamard derivative Hankel determinant Hermite collocation method Hermite polynomials and series Hilfer derivative Hilfer fractional derivative HIV infection impulsive system incomplete fractional calculus initial value problem Janowski function L2 optimization Laplace operators latent reservoir Legendre wavelet length problems limacon domain linear matrix inequalities Liouville_Caputo sense logarithm logarithmic coefficients Mittag-Leffler functions Miura transform mixed Hadamard integral mixed Riemann-Liouville integral monotone iterative method multivalent functions n/a non-linear fractional variational problems nonlocal boundary conditions nonlocal integral condition operational matrix orthogonal polynomials pantograph differential equation piecewise constant functions Post-Exposure Prophylaxis q-calculus q-derivative operator q-hypergeometric functions random solution Rayleigh-Ritz method Riemann-Liouville fractional integral Riemann-stieltjes integral sine function SIR model Sobolev space soliton equations starlike and q-starlike functions starlike function starlike functions subordination systems of fractional order differential equations Toeplitz determinant Toeplitz matrices Ulam stability uniformly close-to-convex functions uniformly starlike functions unique continuation property univalent functions unmeasurable premise variables upper and lower solutions upper bound variable order fractional derivative ψ-Caputo fractional derivative
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Open Access: DOAB: description of the publication
Open Access: DOAB, download the publication

Fractional-Order Integral and Derivative Operators and Their Applications

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