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Saleem Abdullah

Publications and source records attributed to Saleem Abdullah.

7 recordsLinked to original sources
arXiv2014

Application of fuzzy Laplace transforms for solving fuzzy partial Volterra integro-differential equations

Fuzzy partial integro-differential equations have a major role in the fields of science and engineering. In this paper, we propose the solution of fuzzy partial Volterra integro-differential equation with convolution type kernel using fuzzy Laplace transform method (FLTM) under Hukuhara differentiability. It is shown that FLTM is a simple and reliable approach for solving such equations analytically. Finally, the method is illustrated with few examples to show the ability of the proposed method.

math.GM↗
arXiv2014

Solving fuzzy convolution Volterra integro-differential equation via fuzzy Laplace transforms

The solution of integro-differential equations have a major role in the fields of science and engineering. Different approaches both numerical and analytic are used to solve these type of equations. In this paper, the solution of fuzzy convolution Volterra integro-differential equation is investigated using fuzzy Laplace transform method under generalized Hukuhara differentiability. Finally, the method is illustrated with few examples to show the ability of the proposed method.

math.GM↗
arXiv2014

Solving nth order fuzzy differential equation by fuzzy Laplace transform

In this paper, we generalize the fuzzy Laplace transformation (FLT) for the nth derivative of a fuzzy-valued function named as nth derivative theorem and under the strongly generalized differentiability concept, we use it in an analytical solution method for the solution of an nth order fuzzy initial value problem (FIVP). This is a simple approach toward the solution of nth order fuzzy initial value problem (FIVP) by the nth generalized (FLT) form, and then we can use it to solve any order of FIVP. The related theorems and properties are proved. The method is illustrated with the help of some examples. We use MATLAB to evaluate the inverse Laplace transform.

math.GM↗
arXiv2014

Solving fuzzy two-point boundary value problem using fuzzy Laplace transform

A natural way to model dynamic systems under uncertainty is to use fuzzy boundary value problems (FBVPs) and related uncertain systems. In this paper we use fuzzy Laplace transform to find the solution of two-point boundary value under generalized Hukuhara differentiability. We illustrate the method for the solution of the well known two-point boundary value problem Schrodinger equation, and homogeneous boundary value problem. Consequently, we investigate the solutions of FBVPs under as a new application of fuzzy Laplace transform.

math.GM↗
arXiv2013

Generalization of N-Ideals Of BE-algebras

In this paper, using N-structure, the notion of an N-ideal in a BE-algebra is introduced. Conditions for an N-structure to be an N-ideal are provided. To obtain a more general form of an N-ideal, a point N-structure which is (k conditionally) employed in an N-structure is proposed. Using these notions, the concept of an N-ideal is introduced and related properties are investigated. N-ideal is a generalized form of N-ideal. Characterizations of N-ideals are discussed.

math.GM↗
arXiv2013

Bipolar Fuzzy Soft sets and its applications in decision making problem

In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define exdended union, intersection of two bipolar fuzzy soft set. We also give an application of bipolar fuzzy soft set into decision making problem. We give a general algorithm to solve decision making problems by using bipolar fuzzy soft set.

cs.AI↗