Bashir Ahmad

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This paper studies a coupled system of nonlinear fractional differential equation with three-point boundary conditions. Applying the Schauder fixed point theorem, an existence result is proved for the following system Du (t) = f (t, v (t) , Dv (t)) , t ∈ (0, 1) , Dv (t) = g (t, u (t) , Du (t)) , t ∈ (0, 1) , u (0) = 0, Du (1) = δDu (η) , v (0) = 0, Dv (1) =(More)
We discuss the existence of positive solutions of a nonlinear nth order boundary value problem u(n) + a(t) f (u) = 0, t ∈ (0, 1) u(0) = 0, u′(0) = 0, . . . , u(n−2)(0) = 0, αu(η) = u(1), where 0 < η < 1, 0 < αηn−1 < 1. In particular, we establish the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed(More)
In the original Virtual Element space with degree of accuracy k, projector operators in theH-seminorm onto polynomials of degree ≤ k can be easily computed. On the other hand, projections in the L norm are available only on polynomials of degree ≤ k − 2 (directly from the degrees of freedom). Here we present a variant of VEM that allows the exact(More)
Hongli Donga,b∗ Zidong Wangc,d Fuad E. Alsaadid Bashir Ahmade aCollege of Electrical and Information Engineering, Northeast Petroleum University, Daqing 163318, China bInstitute for Automatic Control and Complex Systems, University of Duisburg-Essen, Duisburg 47057, Germany cDepartment of Computer Science, Brunel University, Uxbridge, Middlesex, UB8 3PH,(More)
We study an initial value problem for a coupled Caputo type nonlinear fractional differential system of higher order. As a first problem, the nonhomogeneous terms in the coupled fractional differential system depend on the fractional derivatives of lower orders only. Then the nonhomogeneous terms in the fractional differential system are allowed to depend(More)
BACKGROUND This prospective double-blind trial was undertaken to analyze the role of perioperatively administered dexmedetomidine on the occurrence of chronic pain in cases undergoing surgery for breast cancer. SUBJECTS AND METHODS Eighty-six cases were randomly assigned to two groups to receive either dexmedetomidine (2 μg/ml) in group D or saline in(More)
In this paper, we discuss the existence of solutions for a boundary value problem of second order fractional differential inclusions with four-point integral boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory. Full(More)
A study to investigate hard tick (Ixodid) infestation and genera identification in 30 different herds in randomly selected 15 villages of Frontier Region Peshawar was carried out during August 2003 through February 2004. Ticks were identified for their genera, in Parasitology Laboratory, Veterinary Research Institute, Peshawar. The effect of month, age,(More)
Human toxocariasis caused by Toxocara canis is common in both developing and developed countries and leads to visceral larva migrans with high morbidity and mortality. Ascariasis caused by Ascaris lumbricoides, too has global distribution and in India, high prevalence rate has been reported in Kashmir (J & K State). Both nematode parasites, Toxocara canis(More)