06828nam 2201513z- 450 991059507390332120231214133402.0(CKB)5680000000080787(oapen)https://directory.doabooks.org/handle/20.500.12854/92120(EXLCZ)99568000000008078720202209d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierApplied Mathematics and Fractional CalculusBaselMDPI Books20221 electronic 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.Research & information: generalbicsscMathematics & sciencebicssccondensing functionapproximate endpoint criterionquantum integro-difference BVPexistencefractional Kadomtsev-Petviashvili systemlie group analysispower series solutionsconvergence analysisconservation lawssymmetryweighted fractional operatorsconvex functionsHHF type inequalityfractional calculusEuler–Lagrange equationnatural boundary conditionstime delayMHD equationsweak solutionregularity criteriaanisotropic Lorentz spaceSonine kernelgeneral fractional derivative of arbitrary ordergeneral fractional integral of arbitrary orderfirst fundamental theorem of fractional calculussecond fundamental theorem of fractional calculusρ-Laplace variational iteration methodρ-Laplace decomposition methodpartial differential equationcaputo operatorfractional Fornberg–Whitham equation (FWE)Riemann–Liouville fractional difference operatorboundary value problemdiscrete fractional calculusexistence and uniquenessUlam stabilityelastic beam problemtempered fractional derivativeone-sided tempered fractional derivativebilateral tempered fractional derivativetempered riesz potentialcollocation methodhermite cubic splinefractional burgers equationfractional differential equationfractional Dzhrbashyan–Nersesyan derivativedegenerate evolution equationinitial value probleminitial boundary value problempartial Riemann–Liouville fractional integralBabenko’s approachBanach fixed point theoremMittag–Leffler functiongamma functionnabla fractional differenceseparated boundary conditionsGreen’s functionexistence of solutionsCaputo q-derivativesingular sum fractional q-differentialfixed pointequationsRiemann–Liouville q-integralShehu transformCaputo fractional derivativeShehu decomposition methodnew iterative transform methodfractional KdV equationapproximate solutionsRiemann–Liouville derivativeconcave operatorfixed point theoremGelfand problemorder coneintegral transformAtangana–Baleanu fractional derivativeAboodh transform iterative methodφ-Hilfer fractional system with impulsessemigroup theorynonlocal conditionsoptimal controlsfractional derivativesfractional Prabhakar derivativesfractional differential equationsfractional Sturm–Liouville problemseigenfunctions and eigenvaluesFredholm–Volterra integral Equationsfractional derivativeBessel polynomialsCaputo derivativecollocation pointsCaputo–Fabrizio and Atangana-Baleanu operatorstime-fractional Kaup–Kupershmidt equationnatural transformAdomian decomposition methodResearch & information: generalMathematics & scienceGonzález Francisco Martínezedt1322450Kaabar Mohammed K. AedtGonzález Francisco MartínezothKaabar Mohammed K. AothBOOK9910595073903321Applied Mathematics and Fractional Calculus3035021UNINA