Browsing by Author "Lupulescu, Vasile"

Now showing items 1-7 of 7

    • A schauder fixed point theorem in semilinear spaces and applications 

      Agarwal, Ravi P; Arshad, Sadia; O’Regan, Donal; Lupulescu, Vasile (Springer Nature, 2013-01-01)
      In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces.

    • Evolution equations with causal operators 

      Agarwal, Ravi P.; Arshad, Sadia; Lupulescu, Vasile; 'Regan, Donal (Element d.o.o., 2015-01-01)
      In this paper we present an existence result for causal functional evolution equations. The result is obtained under a condition with respect to the Hausdorff measure of noncompactness. An application with partial differential ...

    • Fuzzy fractional integral equations under compactness type condition 

      Agarwal, Ravi; Arshad, Sadia; O’Regan, Donal; Lupulescu, Vasile (Walter de Gruyter GmbH, 2012-01-01)
      In this paper we study a fuzzy fractional integral equation. The fractional derivative is considered in the sense of Riemann-Liouville and we establish existence of the solutions of fuzzy fractional integral equations using ...

    • Lp-solutions for fractional integral equations 

      Arshad, Sadia; Lupulescu, Vasile; O’Regan, Donal (Walter de Gruyter GmbH, 2014-01-01)
      In this article, we examine L (p) -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of ...

    • Multi-term fractional differential equations in a nonreflexive banach space 

      Agarwal, Ravi P; Lupulescu, Vasile; O’Regan, Donal; ur Rahman, Ghaus (Springer Nature, 2013-01-01)
      In this paper we establish an existence result for the multi- term fractional differential equation (D-alpha m - (m-1)Sigma(aiD alpha i)(i=1))u(t) = f(t, u(t)) for t epsilon [0, 1], u(0) = 0, (1) where D(p)(alpha m)y(.) ...

    • Neutral set differential equations 

      Abbas, Umber; Lupulescu, Vasile; O’Regan, Donald; Younus, Awais (Institute of Mathematics, Czech Academy of Sciences, 2015-09-01)
      The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type {DHX(t)= F(t,Xt,DHXt), where F: [0, b] x Co x 4-) K(E) is a given function, ...

    • Nonlinear fractional differential equations in nonreflexive banach spaces and fractional calculus 

      Agarwal, Ravi P; Lupulescu, Vasile; O’Regan, Donal; Rahman, Ghaus ur (Springer Nature, 2015-04-04)
      The aim of this paper is to correct some ambiguities and inaccuracies in Agarwal et al. (Commun. Nonlinear Sci. Numer. Simul. 20(1): 59-73, 2015; Adv. Differ. Equ. 2013: 302, 2013, doi:10.1186/1687-1847-2013-302) and to ...