Existence and uniqueness of mild solutions to impulsive fractional differential equations
From MaRDI portal
Publication:2653986
DOI10.1016/j.na.2009.08.046zbMath1187.34108OpenAlexW2022277965MaRDI QIDQ2653986
Publication date: 15 January 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.08.046
Cauchy problemmild solutionsimpulsive equationsnonlocal conditionsfractional abstract differential equation
Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05) Functional-differential equations with fractional derivatives (34K37)
Related Items (only showing first 100 items - show all)
Analysis of multipoint impulsive problem of fractional-order differential equations ⋮ Stability of conformable fractional delay differential systems with impulses ⋮ On the (k,Ψ)‐Hilfer nonlinear impulsive fractional differential equations ⋮ Mild solution for impulsive neutral fractional partial differential inclusions with nonlocal conditions ⋮ Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system ⋮ The existence of solutions for perturbed fractional differential equations with impulses via Morse theory ⋮ On a new class of impulsive fractional evolution equations ⋮ About periodicity of impulsive evolution equations through fixed point theory ⋮ Solvability of triple-point integral boundary value problems for a class of impulsive fractional differential equations ⋮ S-asymptotically \(\omega\)-periodic solution for fractional differential equations of order \(q\in(0, 1)\) with finite delay ⋮ Fractional Cauchy problems with almost sectorial operators ⋮ A survey on impulsive fractional differential equations ⋮ A class of nonlocal impulsive differential equations with conformable fractional derivative ⋮ Mild solution of fractional order differential equations with not instantaneous impulses ⋮ Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations ⋮ Existence of the mild solution for impulsive neutral stochastic fractional integro-differential inclusions with nonlocal conditions ⋮ Impulsive boundary value problems for two classes of fractional differential equation with two different Caputo fractional derivatives ⋮ Approximate controllability of fractional differential equations with state-dependent delay ⋮ The existence of solutions for impulsive fractional partial neutral differential equations ⋮ Existence results for fractional order functional differential equations with impulse ⋮ On mixed boundary value problem of impulsive semilinear evolution equations of fractional order ⋮ Monotone iterative technique for impulsive fractional evolution equations ⋮ Positive solutions for the initial value problem of fractional evolution equations ⋮ Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation ⋮ Existence of mild solutions and controllability of fractional impulsive integrodifferential systems with nonlocal conditions ⋮ A class of nonlocal impulsive problems for integrodifferential equations in Banach spaces ⋮ On solving non-homogeneous fractional differential equations of Euler type ⋮ Particular solution of linear sequential fractional differential equation with constant coefficients by inverse fractional differential operators ⋮ The existence and uniqueness of mild solutions for impulsive fractional equations with nonlocal conditions and infinite delay ⋮ Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses ⋮ Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation ⋮ Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order ⋮ Solution existence for non-autonomous variable-order fractional differential equations ⋮ Unnamed Item ⋮ A new method for converting boundary value problems for impulsive fractional differential equations to integral equations and its applications ⋮ Transportation inequalities for coupled fractional stochastic evolution equations driven by fractional Brownian motion ⋮ On nonlocal boundary value problems for nonlinear integro-differential equations of arbitrary fractional order ⋮ Unnamed Item ⋮ The existence of mild solutions for impulsive fractional partial differential equations ⋮ Existence of anti-periodic mild solutions for a class of semilinear fractional differential equations ⋮ Relaxed controls for nonlinear fractional impulsive evolution equations ⋮ Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument ⋮ Generalized antiperiodic boundary value problems for the fractional differential equation with \(p\)-Laplacian operator ⋮ Existence of solutions for nonlinear impulsive fractional differential equations of order \(\alpha \in (2, 3\) with nonlocal boundary conditions] ⋮ Controllability for a class of fractional-order neutral evolution control systems ⋮ Existence and controllability of fractional evolution equation with sectorial operator and impulse ⋮ Approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions ⋮ Existence of solutions for nonlinear fractional integro-differential equations with three-point nonlocal fractional boundary conditions ⋮ Existence and controllability results for nonlocal fractional impulsive differential inclusions in Banach spaces ⋮ Positive solutions for the initial value problems of fractional evolution equation ⋮ Existence of solutions for nonlinear impulsive fractional differential equations with \(p\)-Laplacian operator ⋮ Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order ⋮ A study of an impulsive four-point nonlocal boundary value problem of nonlinear fractional differential equations ⋮ Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions ⋮ Existence and uniqueness of mild solutions for abstract delay fractional differential equations ⋮ On the approximate controllability of semilinear fractional differential systems ⋮ Existence results for \(m\)-point boundary value problems of nonlinear fractional differential equations with \(p\)-Laplacian operator ⋮ Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations ⋮ Multi-point boundary value problems for a coupled system of nonlinear fractional differential equations ⋮ Impulsive antiperiodic boundary value problems for nonlinear \(q_k\)-difference equations ⋮ Unnamed Item ⋮ Impulsive problems for fractional differential equations with nonlocal boundary value conditions ⋮ Complete controllability for fractional evolution equations ⋮ A new impulsive multi-orders fractional differential equation involving multipoint fractional integral boundary conditions ⋮ Green's function for Sturm-Liouville-type boundary value problems of fractional order impulsive differential equations and its application ⋮ Solution of nonlinear space-time fractional differential equations using the fractional Riccati expansion method ⋮ Unnamed Item ⋮ Impulsive problems for fractional partial neutral functional integro-differential inclusions with infinite delay and analytic resolvent operators ⋮ Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions ⋮ New results for fractional differential equations with impulses via variational methods ⋮ A study on the mild solution of impulsive fractional evolution equations ⋮ Existence of \(\alpha\)-mild solutions for impulsive fractional evolution equations and optimal control problems ⋮ On the singular impulsive functional integral equations involving nonlocal conditions ⋮ Nonlocal Cauchy problem for nonautonomous fractional evolution equations ⋮ Positive solutions of \(m\)-point boundary value problems for fractional differential equations ⋮ On impulsive boundary value problems of fractional differential equations with irregular boundary conditions ⋮ Analysis of impulsive \(\varphi\)-Hilfer fractional differential equations ⋮ Existence and controllability results for fractional impulsive integrodifferential systems in Banach spaces ⋮ On recent developments in the theory of abstract differential equations with fractional derivatives ⋮ Complete controllability of impulsive fractional linear time-invariant systems with delay ⋮ Existence of solutions for fractional-order neutral differential inclusions with impulsive and nonlocal conditions ⋮ Existence results for fractional functional differential equations with impulses ⋮ Approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces ⋮ Existence of a Mild Solution for Impulsive Neutral Fractional Differential Equations with Nonlocal Conditions ⋮ Approximate controllability and optimal controls of fractional dynamical systems of order \(1< q<2\) in Banach spaces ⋮ Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations ⋮ Existence results of fractional differential equations with irregular boundary conditions and \(p\)-Laplacian operator ⋮ Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition ⋮ EXISTENCE OF SOLUTIONS OF A CLASS OF IMPULSIVE PERIODIC TYPE BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS ⋮ NONLOCAL FRACTIONAL DIFFERENTIAL INCLUSIONS WITH IMPULSE EFFECTS AND DELAY ⋮ Unnamed Item ⋮ Controllability of nonlinear fractional evolution systems in Banach spaces: a survey ⋮ Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations ⋮ Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition ⋮ A novel computational technique for impulsive fractional differential equations ⋮ Riemann-Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brownian motion ⋮ On Inhomogeneous Fractional Differential Equations in Banach Spaces ⋮ Existence of mild solution of a class of nonlocal fractional order differential equation with not instantaneous impulses ⋮ Fractional sewage treatment models with impulses at variable times ⋮ On integral solutions for a class of mixed Volterra-Fredholm integro differential equations with Caputo fractional derivatives
Cites Work
- Existence of the mild solution for some fractional differential equations with nonlocal conditions
- Global existence theory and chaos control of fractional differential equations
- Basic theory of fractional differential equations
- Existence of the mild solution for fractional semilinear initial value problems
- Theory of fractional functional differential equations
- Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
- A Cauchy problem for some fractional abstract differential equation with non local conditions
- Existence for a class of partial differential equations with nonlocal conditions
- Nonlocal Cauchy problem for some fractional abstract integro-differential equations in Banach spaces
- Existence of nondensely defined evolution equations with nonlocal conditions
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
- Nondensely defined evolution equations with nonlocal conditions.
- Existence results for a class of abstract nonlocal Cauchy problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Existence and uniqueness of mild solutions to impulsive fractional differential equations
