Vasile Lupulescu

ORCID: 0000-0003-4287-2029
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Research Areas
  • 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

10.1016/j.fss.2014.04.005 article EN Fuzzy Sets and Systems 2014-04-12

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.

10.2478/s13540-012-0040-1 article EN cc-by-nc-nd Fractional Calculus and Applied Analysis 2012-09-29

10.1016/j.fss.2008.07.005 article EN Fuzzy Sets and Systems 2008-07-19

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

10.14232/ejqtde.2010.1.11 article EN cc-by Electronic journal of qualitative theory of differential equations 2010-01-01

10.1016/j.mcm.2011.04.001 article EN publisher-specific-oa Mathematical and Computer Modelling 2011-04-19

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...

10.1017/prm.2019.12 article EN Proceedings of the Royal Society of Edinburgh Section A Mathematics 2019-03-20

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.

10.7494/opmath.2014.34.4.813 article EN cc-by-nc Opuscula Mathematica 2014-01-01

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.

10.1186/1687-1812-2013-306 article EN cc-by Fixed Point Theory and Applications 2013-11-22

10.1007/s10700-011-9112-7 article EN Fuzzy Optimization and Decision Making 2011-11-18

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.

10.3233/ifs-141368 article EN Journal of Intelligent & Fuzzy Systems 2015-09-23

10.1007/s00500-015-1980-2 article EN Soft Computing 2016-01-02

10.1016/j.na.2007.11.028 article EN Nonlinear Analysis 2007-11-26

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.

10.2478/s13540-014-0166-4 article EN cc-by-nc-nd Fractional Calculus and Applied Analysis 2013-12-27

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.

10.1002/mana.201400010 article EN Mathematische Nachrichten 2015-12-09

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...

10.14232/ejqtde.2011.1.95 article EN cc-by Electronic journal of qualitative theory of differential equations 2011-01-01
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