Fractional-Order Equations and Inclusions

DOI10.1515/9783110522075zbMath1476.34003OpenAlexW2768292087MaRDI QIDQ5350319

JinRong Wang, Michal Pospíšil, Michal Fečkan

Publication date: 28 August 2017

Full work available at URL: https://doi.org/10.1515/9783110522075

zbMATH Keywords

impulsesdelayintegral equationsevolution equationsfractional differential equationsGronwall inequalities, fixed pointsolution, Ulam stability

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) Perturbations of ordinary differential equations (34D10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Fractional ordinary differential equations (34A08)

Related Items (16)

Caputo-Fabrizio fractional differential equations with non instantaneous impulses ⋮ Periodic mild solutions of impulsive fractional evolution equations ⋮ Note on weakly fractional differential equations ⋮ Historical survey: the chronicles of fractional calculus ⋮ Existence and uniqueness results of Volterra-Fredholm integro-differential equations via Caputo fractional derivative ⋮ Integral representation of solutions of fractional system with distributed delays ⋮ First- and second-order necessary optimality conditions for a control problem described by nonlinear fractional difference equations ⋮ Travelling waves in nonlinear lattices ⋮ On the attainable set of iterative differential inclusions ⋮ Ulam stability for nonlocal differential equations involving the Hilfer-Katugampola fractional derivative ⋮ ILC method for solving approximate controllability of fractional differential equations with noninstantaneous impulses ⋮ COMPARISON THEOREMS FOR CAPUTO–HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Prof. RNDr. Michal Fečkan, DrSc. -- sexagenarian? ⋮ DIFFERENTIAL EQUATIONS WITH TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVE ⋮ Asymptotically periodic solutions for Caputo type fractional evolution equations ⋮ Unique solvability of the boundary-value problems for nonlinear fractional functional differential equations

This page was built for publication: Fractional-Order Equations and Inclusions