In this work we solve numerically a boundary value problem for second order fuzzy differential equations under generalized differentiability in the form y′′(t) = p(t)y′(t) + q(t)y(t) + F(t) y(0) = γ, y(`) = λ where t ∈ T = [0, `], p(t) ≥ 0, q(t) ≥ 0 are continuous functions on [0, `] and [γ]α = [γα ,γα ], [λ ] α = [λ α ,λ α ] are fuzzy numbers. There are four different solutions of the problem ...

Duality transformations play an important role in modern theoretical physics. In Seiberg-Witten theory [1] electric-magnetic duality (for a recent review of electric-magnetic duality see [2] and references therein) is a basic ingredient in obtaining the exact form of the low-energy effective action. Hence, duality is a crucial tool in studying non-perturbative physics. Any truly non-perturbativ...

The solution Zz0,h of ODE driven by some smooth path h is a functional of h. Rough path analysis gives some new continuity theorem for the functional h → Zh. In the proof of [3], first, the solution is constructed on small interval and, iterating the procedure, the solution is constructed on the whole interval. In this procedure, the initial point of the solution in the second small interval is...

In this paper, a time fractional diffusion equation on a finite domain is con- sidered. The time fractional diffusion equation is obtained from the standard diffusion equation by replacing the first order time derivative by a fractional derivative of order 0 < a< 1 (in the Riemann-Liovill or Caputo sence). In equation that we consider the time fractional derivative is in...

The potential function of Lippincott and Schroeder for linear hydrogen bond has been re-examined and extended to nonlinear hydrogen bond. The parameters originally introduced to the potential function by Lippincott and Schroeder have been determined from the structural parameters such as 0.. .Odistance 0-H bond distance, H.. .O distance and HOO angle. Thevalidity of harmonic oscillator appr...

The n-instanton contribution to the Seiberg-Witten prepotential of N = 2 supersymmetric d = 4 Yang Mills theory is represented as the integral of the exponential of an equivariantly exact form. Integrating out an overall scale and a U(1) angle the integral is rewritten as (4n − 3) fold product of a closed two form. This two form is, formally, a representative of the Euler class of the Instanton...

In thisresearch, the formed reaction derivative of matter [b-5,1] Tetrazolo [4,2,1] Teriazine (TTA) with boron nitride cage Nano-structure was studied in different temperature conditions by DFT method. For this purpose, first, the materials on both sides of the reaction were the geometric optimization, then, calculation related to the thermodynamic parameters were done on all them. Then, the va...

Diazotization of 3-amino-2-cMoro pyridine (3) in the presence of dithizone (5) gave dphenyl-2-phenylazo-4H-pyrid[o3 ,2-e] [1,3,4] thiadiazine (6). Reaction of 2- chloro-3-nitropyridine (2, G=H) with (5) dfordd 4-phenyl -2-phenylazo -4Hpyrido [2,3-el [1,3,4] thiadiazine (7). Reduction of the latter with H gas in the presence of Raney nickel gave the corresponding amino derivative (12). One ...

The aim of this paper is to establish the existence of solutions of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H"{o}lder inequality, Krasnoselskii's fixed point theorem and nonlinear alternative of Leray-Schauder type. Examples are exhibited to illustrate the main resu...