Applications of contractive-like mapping principles to interval-valued fractional integro-differential equations
DOI10.1007/s11784-017-0444-yzbMath1386.34004OpenAlexW2614134450MaRDI QIDQ1684872
Ho Vu, Vinh An Truong, Ngo Van Hoa
Publication date: 12 December 2017
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-017-0444-y
weakly contractive mappingfractional interval-valued differential equationsfractional interval-valued integro-differential equations
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37) Fuzzy ordinary differential equations (34A07) Fuzzy functional-differential equations (34K36)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hukuhara differentiability of interval-valued functions and interval differential equations on time scales
- On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem
- Global solutions for nonlinear fuzzy fractional integral and integro-differential equations
- Calculus for interval-valued functions using generalized Hukuhara derivative and applications
- Solving fuzzy fractional differential equations by fuzzy Laplace transforms
- Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles
- Random fuzzy fractional integral equations -- theoretical foundations
- Fractional calculus for interval-valued functions
- On the fractional differential equations with uncertainty
- On the fractional signals and systems
- Interval differential equations with a second type Hukuhara derivative
- Modified fractional Euler method for solving fuzzy fractional initial value problem
- Fractional calculus in viscoelasticity: an experimental study
- Monotone method for fuzzy differential equations
- On the concept of solution for fractional differential equations with uncertainty
- A generalized Gronwall inequality and its application to a fractional differential equation
- Fuzzy fractional functional differential equations under Caputo gH-differentiability
- A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
- Fractional calculus models of complex dynamics in biological tissues
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- Calculus for interval functions of a real variable
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fuzzy fractional functional integral and differential equations
- New approach for studying nonlocal problems related to differential systems and partial differential equations in generalized fuzzy metric spaces
- Interval Cauchy problem with a second type Hukuhara derivative
- Explicit solutions of fractional differential equations with uncertainty
- Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability
- Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty
- Type-2 fuzzy fractional derivatives
- Fuzzy fractional integral equations under compactness type condition
- Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- A survey on fuzzy fractional variational problems
- Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations
- Existence of extremal solutions for interval-valued functional integro-differential equations
- A fixed point theorem in partially ordered sets and some applications to matrix equations
This page was built for publication: Applications of contractive-like mapping principles to interval-valued fractional integro-differential equations