Fractional Differential Equations, Inclusions and Inequalities with Applications

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, visc...

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Bibliographic Details
Format:	eBook
Language:	English
Published:	Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:	Mathematics & science Research & information: general anti-periodic boundary value problems arbitrary order differential equations boundary value problem caputo fractional derivative Caputo fractional derivative Caputo-Fabrizio fractional differential equations caputo-type fractional derivative Caputo-type fractional derivative Caputo's fractional derivative condensing multivalued map conformable derivative conformable double Laplace decomposition method conformable fractional calculus conformable Laplace transform conformable partial derivative continuous dependence convergence estimates convex function convex functions coupled system coupled system of fractional difference equations differential inclusions discrete half-line distributed delay existence existence and uniqueness of solution existence of solutions existence theory exponential kernel exponentially convex function fixed point fixed point theorem fixed-point theorems fractal space fractional bennett's inequality fractional calculus fractional copson's inequality fractional derivative fractional derivatives fractional differential equation fractional differential inclusions fractional evolution inclusions fractional hardy's inequality fractional hölder inequality fractional integral fractional integral inequalities fractional integrals fractional leindler's inequality fractional q-difference inclusion fractional sum fractional sum-difference equations functional fractional differential inclusions generalized fractional integral generalized Liouville-Caputo derivative generalized Riemann-liouville fractional integrals green function Green's function Hadamard fractional derivative hadamard proportional fractional integrals Hermite-Hadamard inequalities Hermite-Hadamard inequality Hermite-Hadamard type inequalities Hermite-Hadamard-type inequalities HU stability Hyers-Ulam stability ill-posed problem impulses inequalities integral representation integro-multipoint boundary conditions interval-valued functions inverse problem iterative method Katugampola fractional integrals Langevin equation matrix theory measure of noncompactness mild solutions multiple positive solution neutral fractional systems non-instantaneous impulsive equations nonlocal nonlocal boundary conditions nonlocal fractional delta-nabla sum boundary value problem Ostrowski type inequality Perov-type fixed point theorem positive solution positive solutions positivity of solution proportional fractional integrals q-integro-difference equation Qi inequality random impulsive and junction points Riemann-Liouville fractional integral Riemann-Liouville fractional integrals Riemann-Liouville type fractional problem s-convex function sequential fractional delta-nabla sum-difference equations singular one dimensional coupled Burgers' equation solution stability theory the index of fixed point the method of lower and upper solutions three-point boundary-value problem time-fractional diffusion equation timescales Ulam-Hyers stability uniqueness ψ-Riesz-Caputo derivative
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