Fractional Differential Equations, Inclusions and Inequalities with Applications 

<br/><br/><br/>English[eng] 
<br/><br/><label>Subjects--Topical Terms: </label><br/>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