04185nam 2200961z- 450 991058021700332120231214133529.0(CKB)5690000000011917(oapen)https://directory.doabooks.org/handle/20.500.12854/87413(EXLCZ)99569000000001191720202207d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFractional Calculus - Theory and ApplicationsBaselMDPI - Multidisciplinary Digital Publishing Institute20221 electronic resource (198 p.)3-0365-3262-5 3-0365-3263-3 In recent years, fractional calculus has led to tremendous progress in various areas of science and mathematics. New definitions of fractional derivatives and integrals have been uncovered, extending their classical definitions in various ways. Moreover, rigorous analysis of the functional properties of these new definitions has been an active area of research in mathematical analysis. Systems considering differential equations with fractional-order operators have been investigated thoroughly from analytical and numerical points of view, and potential applications have been proposed for use in sciences and in technology. The purpose of this Special Issue is to serve as a specialized forum for the dissemination of recent progress in the theory of fractional calculus and its potential applications.Research & information: generalbicsscMathematics & sciencebicsscCaputo fractional derivativefractional differential equationshybrid differential equationscoupled hybrid Sturm-Liouville differential equationmulti-point boundary coupled hybrid conditionintegral boundary coupled hybrid conditiondhage type fixed point theoremlinear fractional systemdistributed delayfinite time stabilityimpulsive differential equationsfractional impulsive differential equationsinstantaneous impulsesnon-instantaneous impulsestime-fractional diffusion-wave equationsEuler waveletsintegral equationsnumerical approximationcoupled systemsRiemann-Liouville fractional derivativeHadamard-Caputo fractional derivativenonlocal boundary conditionsexistencefixed pointLR-p-convex interval-valued functionKatugampola fractional integral operatorHermite-Hadamard type inequalityHermite-Hadamard-Fejér inequalityspace-fractional Fokker-Planck operatortime-fractional wave with the time-fractional damped termLaplace transformMittag-Leffler functionGrünwald-Letnikov schemepotential and current in an electric transmission linerandom walk of a populationfractional derivativegradient descenteconomic growthgroup of sevenfractional order derivative modelGPUa spiral-plate heat exchangerparallel modelheat transfernonlinear systemstochastic epidemic modelmalaria infectionstochastic generalized Eulernonstandard finite-difference methodpositivityboundednessResearch & information: generalMathematics & scienceMacías Díaz Jorge Eedt1304527Macías Díaz Jorge EothBOOK9910580217003321Fractional Calculus - Theory and Applications3027527UNINA