Advances in Boundary Value Problems for Fractional Differential Equations

• Format: eBook
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: approximate controllability; at resonance; boundary value problem; boundary value problems; bounded domain; Caputo fractional derivative; Caputo fractional q-difference derivative; Chebyshev polynomial; coincidence degree theory; collocation method; compactness; Computer science; Computing and Information Technology; contractible sets; delay; differential equation with fractional derivatives; Economics, Finance, Business and Management; existence; existence and uniqueness; fixed point; fixed point theorems; four-point boundary value problem system; fractional calculus; fractional differential equation; fractional Dzhrbashyan–Nersesyan derivative; fractional evolution systems; fractional integro-differential equation; fractional q-difference equations; fractional q-integro-difference system; Hilfer fractional system; impulsive fractional differential inclusions; Industry and industrial studies; Information technology industries; initial value problem; initial-boundary value problem; Mawhin’s continuation technique; measure of noncompactness; Media, entertainment, information and communication industries; mild solutions; multi-valued maps; multiplicity; Mönch’s fixed point theorem; n/a; neutral differential inclusions; neutral system; nonexistence; nonlocal boundary conditions; nonlocal conditions; nonlocal coupled boundary conditions; parameter; perturbation theorem; piecewise constant function; positive parameters; positive solutions; q-calculus; resolvent operator; resolving family of operators; resonance; Riemann-Stieltjes q-integrals; Riemann–Liouville fractional differential equations; Riemann–Stieltjes integro-multipoint boundary conditions; Rδ-set; Schauder fixed point theorem; sectorial operators; sequential fractional differential equations; singular functions; singularity; Sobolev operator; solvability; Sturm–Liouville boundary condition; time-fractional damped wave inequalities; variable order; variational method; viscoelastic Oldroyd fluid
• DOI: 10.3390/books978-3-0365-7798-2
• ISBN: 303657798X; 9783036577982; 9783036577999; 3036577998

This reprint covers new aspects of the recent developments in the theory and applications of fractional differential equations, including inclusions, inequalities, and systems of fractional differential equations with Riemann-Liouville derivatives, Caputo derivatives, or other generalized fractional derivatives, subject to various boundary conditions. The authors study the existence, uniqueness, multiplicity, and nonexistence of classical or mild solutions, the approximation of solutions, and the approximate controllability of mild solutions for diverse mathematical models.