LEADER 06828nam 2201513z- 450 001 9910595073903321 005 20231214133402.0 035 $a(CKB)5680000000080787 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/92120 035 $a(EXLCZ)995680000000080787 100 $a20202209d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aApplied Mathematics and Fractional Calculus 210 $aBasel$cMDPI Books$d2022 215 $a1 electronic resource (438 p.) 311 $a3-0365-5148-4 311 $a3-0365-5147-6 330 $aIn 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. 606 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $acondensing function 610 $aapproximate endpoint criterion 610 $aquantum integro-difference BVP 610 $aexistence 610 $afractional Kadomtsev-Petviashvili system 610 $alie group analysis 610 $apower series solutions 610 $aconvergence analysis 610 $aconservation laws 610 $asymmetry 610 $aweighted fractional operators 610 $aconvex functions 610 $aHHF type inequality 610 $afractional calculus 610 $aEuler?Lagrange equation 610 $anatural boundary conditions 610 $atime delay 610 $aMHD equations 610 $aweak solution 610 $aregularity criteria 610 $aanisotropic Lorentz space 610 $aSonine kernel 610 $ageneral fractional derivative of arbitrary order 610 $ageneral fractional integral of arbitrary order 610 $afirst fundamental theorem of fractional calculus 610 $asecond fundamental theorem of fractional calculus 610 $a?-Laplace variational iteration method 610 $a?-Laplace decomposition method 610 $apartial differential equation 610 $acaputo operator 610 $afractional Fornberg?Whitham equation (FWE) 610 $aRiemann?Liouville fractional difference operator 610 $aboundary value problem 610 $adiscrete fractional calculus 610 $aexistence and uniqueness 610 $aUlam stability 610 $aelastic beam problem 610 $atempered fractional derivative 610 $aone-sided tempered fractional derivative 610 $abilateral tempered fractional derivative 610 $atempered riesz potential 610 $acollocation method 610 $ahermite cubic spline 610 $afractional burgers equation 610 $afractional differential equation 610 $afractional Dzhrbashyan?Nersesyan derivative 610 $adegenerate evolution equation 610 $ainitial value problem 610 $ainitial boundary value problem 610 $apartial Riemann?Liouville fractional integral 610 $aBabenko?s approach 610 $aBanach fixed point theorem 610 $aMittag?Leffler function 610 $agamma function 610 $anabla fractional difference 610 $aseparated boundary conditions 610 $aGreen?s function 610 $aexistence of solutions 610 $aCaputo q-derivative 610 $asingular sum fractional q-differential 610 $afixed point 610 $aequations 610 $aRiemann?Liouville q-integral 610 $aShehu transform 610 $aCaputo fractional derivative 610 $aShehu decomposition method 610 $anew iterative transform method 610 $afractional KdV equation 610 $aapproximate solutions 610 $aRiemann?Liouville derivative 610 $aconcave operator 610 $afixed point theorem 610 $aGelfand problem 610 $aorder cone 610 $aintegral transform 610 $aAtangana?Baleanu fractional derivative 610 $aAboodh transform iterative method 610 $a?-Hilfer fractional system with impulses 610 $asemigroup theory 610 $anonlocal conditions 610 $aoptimal controls 610 $afractional derivatives 610 $afractional Prabhakar derivatives 610 $afractional differential equations 610 $afractional Sturm?Liouville problems 610 $aeigenfunctions and eigenvalues 610 $aFredholm?Volterra integral Equations 610 $afractional derivative 610 $aBessel polynomials 610 $aCaputo derivative 610 $acollocation points 610 $aCaputo?Fabrizio and Atangana-Baleanu operators 610 $atime-fractional Kaup?Kupershmidt equation 610 $anatural transform 610 $aAdomian decomposition method 615 7$aResearch & information: general 615 7$aMathematics & science 700 $aGonzález$b Francisco Martínez$4edt$01322450 702 $aKaabar$b Mohammed K. A$4edt 702 $aGonzález$b Francisco Martínez$4oth 702 $aKaabar$b Mohammed K. A$4oth 906 $aBOOK 912 $a9910595073903321 996 $aApplied Mathematics and Fractional Calculus$93035021 997 $aUNINA