07006nam 2201669z- 450 991055773100332120210501(CKB)5400000000046013(oapen)https://directory.doabooks.org/handle/20.500.12854/69271(oapen)doab69271(EXLCZ)99540000000004601320202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFractional Differential Equations, Inclusions and Inequalities with ApplicationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (518 p.)3-03943-218-4 3-03943-219-2 During 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.Mathematics & sciencebicsscResearch & information: generalbicsscanti-periodic boundary value problemsarbitrary order differential equationsboundary value problemcaputo fractional derivativeCaputo fractional derivativeCaputo-Fabrizio fractional differential equationscaputo-type fractional derivativeCaputo-type fractional derivativeCaputo's fractional derivativecondensing multivalued mapconformable derivativeconformable double Laplace decomposition methodconformable fractional calculusconformable Laplace transformconformable partial derivativecontinuous dependenceconvergence estimatesconvex functionconvex functionscoupled systemcoupled system of fractional difference equationsdifferential inclusionsdiscrete half-linedistributed delayexistenceexistence and uniqueness of solutionexistence of solutionsexistence theoryexponential kernelexponentially convex functionfixed pointfixed point theoremfixed-point theoremsfractal spacefractional bennett's inequalityfractional calculusfractional copson's inequalityfractional derivativefractional derivativesfractional differential equationfractional differential inclusionsfractional evolution inclusionsfractional hardy's inequalityfractional hölder inequalityfractional integralfractional integral inequalitiesfractional integralsfractional leindler's inequalityfractional q-difference inclusionfractional sumfractional sum-difference equationsfunctional fractional differential inclusionsgeneralized fractional integralgeneralized Liouville-Caputo derivativegeneralized Riemann-liouville fractional integralsgreen functionGreen's functionHadamard fractional derivativehadamard proportional fractional integralsHermite-Hadamard inequalitiesHermite-Hadamard inequalityHermite-Hadamard type inequalitiesHermite-Hadamard-type inequalitiesHU stabilityHyers-Ulam stabilityill-posed problemimpulsesinequalitiesintegral representationintegro-multipoint boundary conditionsinterval-valued functionsinverse problemiterative methodKatugampola fractional integralsLangevin equationmatrix theorymeasure of noncompactnessmild solutionsmultiple positive solutionneutral fractional systemsnon-instantaneous impulsive equationsnonlocalnonlocal boundary conditionsnonlocal fractional delta-nabla sum boundary value problemOstrowski type inequalityPerov-type fixed point theorempositive solutionpositive solutionspositivity of solutionproportional fractional integralsq-integro-difference equationQi inequalityrandom impulsive and junction pointsRiemann-Liouville fractional integralRiemann-Liouville fractional integralsRiemann-Liouville type fractional problems-convex functionsequential fractional delta-nabla sum-difference equationssingular one dimensional coupled Burgers' equationsolutionstability theorythe index of fixed pointthe method of lower and upper solutionsthree-point boundary-value problemtime-fractional diffusion equationtimescalesUlam-Hyers stabilityuniquenessψ-Riesz-Caputo derivativeMathematics & scienceResearch & information: generalNtouyas Sotiris Kedt1309577Ntouyas Sotiris KothBOOK9910557731003321Fractional Differential Equations, Inclusions and Inequalities with Applications3041187UNINA