LEADER 07020nam 2201657z- 450 001 9910557731003321 005 20231214133030.0 035 $a(CKB)5400000000046013 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/69271 035 $a(EXLCZ)995400000000046013 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFractional Differential Equations, Inclusions and Inequalities with Applications 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 electronic resource (518 p.) 311 $a3-03943-218-4 311 $a3-03943-219-2 330 $aDuring the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special Issue presents recent developments in the theory of fractional differential equations and inequalities. Topics include but are not limited to the existence and uniqueness results for boundary value problems for different types of fractional differential equations, a variety of fractional inequalities, impulsive fractional differential equations, and applications in sciences and engineering. 606 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $afractional evolution inclusions 610 $amild solutions 610 $acondensing multivalued map 610 $aarbitrary order differential equations 610 $amultiple positive solution 610 $aPerov-type fixed point theorem 610 $aHU stability 610 $aCaputo fractional derivative 610 $anonlocal 610 $aintegro-multipoint boundary conditions 610 $aexistence 610 $auniqueness 610 $aUlam-Hyers stability 610 $acoupled system of fractional difference equations 610 $afractional sum 610 $adiscrete half-line 610 $anon-instantaneous impulsive equations 610 $arandom impulsive and junction points 610 $acontinuous dependence 610 $aCaputo?Fabrizio fractional differential equations 610 $aHyers?Ulam stability 610 $afractional derivative 610 $afixed point theorem 610 $afractional differential equation 610 $afractional sum-difference equations 610 $aboundary value problem 610 $apositive solution 610 $agreen function 610 $athe method of lower and upper solutions 610 $athree-point boundary-value problem 610 $aCaputo?s fractional derivative 610 $aRiemann-Liouville fractional integral 610 $afixed-point theorems 610 $aLangevin equation 610 $ageneralized fractional integral 610 $ageneralized Liouville?Caputo derivative 610 $anonlocal boundary conditions 610 $afixed point 610 $afractional differential inclusions 610 $a?-Riesz-Caputo derivative 610 $aexistence of solutions 610 $aanti-periodic boundary value problems 610 $aq-integro-difference equation 610 $afractional calculus 610 $afractional integrals 610 $aOstrowski type inequality 610 $aconvex function 610 $aexponentially convex function 610 $ageneralized Riemann-liouville fractional integrals 610 $aconvex functions 610 $aHermite?Hadamard-type inequalities 610 $aexponential kernel 610 $acaputo fractional derivative 610 $acoupled system 610 $aimpulses 610 $aexistence theory 610 $astability theory 610 $aconformable derivative 610 $aconformable partial derivative 610 $aconformable double Laplace decomposition method 610 $aconformable Laplace transform 610 $asingular one dimensional coupled Burgers? equation 610 $aGreen?s function 610 $aexistence and uniqueness of solution 610 $apositivity of solution 610 $aiterative method 610 $aRiemann?Liouville type fractional problem 610 $apositive solutions 610 $athe index of fixed point 610 $amatrix theory 610 $adifferential inclusions 610 $aCaputo-type fractional derivative 610 $afractional integral 610 $atime-fractional diffusion equation 610 $ainverse problem 610 $aill-posed problem 610 $aconvergence estimates 610 $as-convex function 610 $aHermite?Hadamard inequalities 610 $aRiemann?Liouville fractional integrals 610 $afractal space 610 $afunctional fractional differential inclusions 610 $aHadamard fractional derivative 610 $aKatugampola fractional integrals 610 $aHermite?Hadamard inequality 610 $afractional q-difference inclusion 610 $ameasure of noncompactness 610 $asolution 610 $aproportional fractional integrals 610 $ainequalities 610 $aQi inequality 610 $acaputo-type fractional derivative 610 $afractional derivatives 610 $aneutral fractional systems 610 $adistributed delay 610 $aintegral representation 610 $afractional hardy?s inequality 610 $afractional bennett?s inequality 610 $afractional copson?s inequality 610 $afractional leindler?s inequality 610 $atimescales 610 $aconformable fractional calculus 610 $afractional hölder inequality 610 $asequential fractional delta-nabla sum-difference equations 610 $anonlocal fractional delta-nabla sum boundary value problem 610 $ahadamard proportional fractional integrals 610 $afractional integral inequalities 610 $aHermite?Hadamard type inequalities 610 $ainterval-valued functions 615 7$aResearch & information: general 615 7$aMathematics & science 700 $aNtouyas$b Sotiris K$4edt$01309577 702 $aNtouyas$b Sotiris K$4oth 906 $aBOOK 912 $a9910557731003321 996 $aFractional Differential Equations, Inclusions and Inequalities with Applications$93041187 997 $aUNINA