- Nonlinear Differential Equations Analysis
- Fractional Differential Equations Solutions
- Fuzzy Systems and Optimization
- Stability and Controllability of Differential Equations
- Functional Equations Stability Results
- Differential Equations and Boundary Problems
- Optimization and Variational Analysis
- Fixed Point Theorems Analysis
- Differential Equations and Numerical Methods
- Advanced Differential Equations and Dynamical Systems
- Advanced Mathematical Modeling in Engineering
- advanced mathematical theories
- Spectral Theory in Mathematical Physics
- Optimization and Mathematical Programming
- Mathematical and Theoretical Epidemiology and Ecology Models
- Marine and environmental studies
- Control Systems and Identification
- Iterative Methods for Nonlinear Equations
- Numerical methods for differential equations
- Heat Transfer and Mathematical Modeling
- Quantum chaos and dynamical systems
- Matrix Theory and Algorithms
- Material Science and Thermodynamics
- Advanced Topics in Algebra
- Advanced Banach Space Theory
Constantin Brâncuși University of Targu Jiu
2013-2024
Government College University, Lahore
2013
In this paper we study a fuzzy fractional integral equation. The derivative is considered in the sense of Riemann-Liouville and establish existence solutions equations using Hausdorff measure noncompactness.
The purpose of this paper is to present the fundamental con- cepts basic theory for linear impulsive systems on time scales. First, we introduce transition matrix dynamic scales and establish some properties them. Second, prove existence uniqueness solutions Also give sufficient conditions stability dy- namic
Abstract Let q be a positive integer and let ( n ) b two given ℂ-valued -periodic sequences. First we prove that the linear recurrence in ℂ 0.1 $$x_{n + 2} = a_nx_{n 1} b_nx_n,\quad n\in {\open Z}_+ $$ is Hyers–Ulam stable if only spectrum of monodromy matrix T : A −1 · 0 (i.e. set all its eigenvalues) does not intersect unit circle Γ { z ∈ ℂ: | 1}, i.e. hyperbolic. Here (and as follows) 0.2 $$A_n \left( {\matrix{ & 1 \cr {b_n} {a_n} } \right)\quad .$$ Secondly differential equation 0.3...
In this paper, an existence result for a random fractional differential equation is established under Carathéodory condition.Existence results extremal solutions are also proved.Finally, and uniqueness given.
Abstract In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the result, give variant Schauder fixed point theorem in semilinear Banach spaces. MSC: 34A07, 34A08.
In this paper the random fuzzy fractional integral and differential equations are introduced. Under Lipschitz condition we obtain existence uniqueness theorems of solutions for two general forms equations. To prove assertion use an idea success ive approximations. Moreover, approach is followed to initial value problem under Caputo-type derivatives. The method illustrated by solving example.
In this article, we examine L p -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville operator. Using a compactness type condition, obtain local and global existence solutions. Also other types uniqueness results are established. At end, an application is given to illustrate main result.
The aim of this paper is to develop fractional calculus for vector‐valued functions using the weak Riemann integral. Also, we establish existence solutions a class differential equations with derivatives.
Abstract. The aim of this paper is to study the controllability and ob-servability for a class linear time-varying impulsive control systems on timescales. Sufficient necessary conditions state stateobservability such are established. corresponding criteria fortime-invariant time scales also obtained.Keywords: scale, system, controllability,observability.AMS Subject Classification: 93B05, 34A37, 34H05, 93B07. 1 Introduction Differential equations with impulses have considerable importance in...