07020nam 2201657z- 450 991055773100332120231214133030.0(CKB)5400000000046013(oapen)https://directory.doabooks.org/handle/20.500.12854/69271(EXLCZ)99540000000004601320202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFractional Differential Equations, Inclusions and Inequalities with ApplicationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 electronic 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.Research & information: generalbicsscMathematics & sciencebicsscfractional evolution inclusionsmild solutionscondensing multivalued maparbitrary order differential equationsmultiple positive solutionPerov-type fixed point theoremHU stabilityCaputo fractional derivativenonlocalintegro-multipoint boundary conditionsexistenceuniquenessUlam-Hyers stabilitycoupled system of fractional difference equationsfractional sumdiscrete half-linenon-instantaneous impulsive equationsrandom impulsive and junction pointscontinuous dependenceCaputo–Fabrizio fractional differential equationsHyers–Ulam stabilityfractional derivativefixed point theoremfractional differential equationfractional sum-difference equationsboundary value problempositive solutiongreen functionthe method of lower and upper solutionsthree-point boundary-value problemCaputo’s fractional derivativeRiemann-Liouville fractional integralfixed-point theoremsLangevin equationgeneralized fractional integralgeneralized Liouville–Caputo derivativenonlocal boundary conditionsfixed pointfractional differential inclusionsψ-Riesz-Caputo derivativeexistence of solutionsanti-periodic boundary value problemsq-integro-difference equationfractional calculusfractional integralsOstrowski type inequalityconvex functionexponentially convex functiongeneralized Riemann-liouville fractional integralsconvex functionsHermite–Hadamard-type inequalitiesexponential kernelcaputo fractional derivativecoupled systemimpulsesexistence theorystability theoryconformable derivativeconformable partial derivativeconformable double Laplace decomposition methodconformable Laplace transformsingular one dimensional coupled Burgers’ equationGreen’s functionexistence and uniqueness of solutionpositivity of solutioniterative methodRiemann–Liouville type fractional problempositive solutionsthe index of fixed pointmatrix theorydifferential inclusionsCaputo-type fractional derivativefractional integraltime-fractional diffusion equationinverse problemill-posed problemconvergence estimatess-convex functionHermite–Hadamard inequalitiesRiemann–Liouville fractional integralsfractal spacefunctional fractional differential inclusionsHadamard fractional derivativeKatugampola fractional integralsHermite–Hadamard inequalityfractional q-difference inclusionmeasure of noncompactnesssolutionproportional fractional integralsinequalitiesQi inequalitycaputo-type fractional derivativefractional derivativesneutral fractional systemsdistributed delayintegral representationfractional hardy’s inequalityfractional bennett’s inequalityfractional copson’s inequalityfractional leindler’s inequalitytimescalesconformable fractional calculusfractional hölder inequalitysequential fractional delta-nabla sum-difference equationsnonlocal fractional delta-nabla sum boundary value problemhadamard proportional fractional integralsfractional integral inequalitiesHermite–Hadamard type inequalitiesinterval-valued functionsResearch & information: generalMathematics & scienceNtouyas Sotiris Kedt1309577Ntouyas Sotiris KothBOOK9910557731003321Fractional Differential Equations, Inclusions and Inequalities with Applications3041187UNINA