06811nam 2201525z- 450 991059507390332120220916(CKB)5680000000080787(oapen)https://directory.doabooks.org/handle/20.500.12854/92120(oapen)doab92120(EXLCZ)99568000000008078720202209d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierApplied Mathematics and Fractional CalculusBasel20221 online resource (438 p.)3-0365-5148-4 3-0365-5147-6 In the last three decades, fractional calculus has broken into the field of mathematical analysis, both at the theoretical level and at the level of its applications. In essence, the fractional calculus theory is a mathematical analysis tool applied to the study of integrals and derivatives of arbitrary order, which unifies and generalizes the classical notions of differentiation and integration. These fractional and derivative integrals, which until not many years ago had been used in purely mathematical contexts, have been revealed as instruments with great potential to model problems in various scientific fields, such as: fluid mechanics, viscoelasticity, physics, biology, chemistry, dynamical systems, signal processing or entropy theory. Since the differential and integral operators of fractional order are nonlinear operators, fractional calculus theory provides a tool for modeling physical processes, which in many cases is more useful than classical formulations. This is why the application of fractional calculus theory has become a focus of international academic research. This Special Issue "Applied Mathematics and Fractional Calculus" has published excellent research studies in the field of applied mathematics and fractional calculus, authored by many well-known mathematicians and scientists from diverse countries worldwide such as China, USA, Canada, Germany, Mexico, Spain, Poland, Portugal, Iran, Tunisia, South Africa, Albania, Thailand, Iraq, Egypt, Italy, India, Russia, Pakistan, Taiwan, Korea, Turkey, and Saudi Arabia.Mathematics and SciencebicsscResearch and information: generalbicsscAboodh transform iterative methodAdomian decomposition methodanisotropic Lorentz spaceapproximate endpoint criterionapproximate solutionsAtangana-Baleanu fractional derivativeBabenko's approachBanach fixed point theoremBessel polynomialsbilateral tempered fractional derivativeboundary value problemCaputo derivativeCaputo fractional derivativecaputo operatorCaputo q-derivativeCaputo-Fabrizio and Atangana-Baleanu operatorscollocation methodcollocation pointsconcave operatorcondensing functionconservation lawsconvergence analysisconvex functionsdegenerate evolution equationdiscrete fractional calculuseigenfunctions and eigenvalueselastic beam problemequationsEuler-Lagrange equationexistenceexistence and uniquenessexistence of solutionsfirst fundamental theorem of fractional calculusfixed pointfixed point theoremfractional burgers equationfractional calculusfractional derivativefractional derivativesfractional differential equationfractional differential equationsfractional Dzhrbashyan-Nersesyan derivativefractional Fornberg-Whitham equation (FWE)fractional Kadomtsev-Petviashvili systemfractional KdV equationfractional Prabhakar derivativesfractional Sturm-Liouville problemsFredholm-Volterra integral Equationsgamma functionGelfand problemgeneral fractional derivative of arbitrary ordergeneral fractional integral of arbitrary orderGreen's functionhermite cubic splineHHF type inequalityinitial boundary value probleminitial value problemintegral transformlie group analysisMHD equationsMittag-Leffler functionnabla fractional differencenatural boundary conditionsnatural transformnew iterative transform methodnonlocal conditionsone-sided tempered fractional derivativeoptimal controlsorder conepartial differential equationpartial Riemann-Liouville fractional integralpower series solutionsquantum integro-difference BVPregularity criteriaRiemann-Liouville derivativeRiemann-Liouville fractional difference operatorRiemann-Liouville q-integralsecond fundamental theorem of fractional calculussemigroup theoryseparated boundary conditionsShehu decomposition methodShehu transformsingular sum fractional q-differentialSonine kernelsymmetrytempered fractional derivativetempered riesz potentialtime delaytime-fractional Kaup-Kupershmidt equationUlam stabilityweak solutionweighted fractional operatorsρ-Laplace decomposition methodρ-Laplace variational iteration methodφ-Hilfer fractional system with impulsesMathematics and ScienceResearch and information: generalGonzález Francisco Martínezedt1322450Kaabar Mohammed K. AedtGonzález Francisco MartínezothKaabar Mohammed K. AothBOOK9910595073903321Applied Mathematics and Fractional Calculus3035021UNINA