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