Add to ORKGIn this paper we present a method for solving the Diophantine equation, first we find the polynomial solution for the PELL’S equation by the method of continued fractions then present the integral solution of the Diophantine equations. Theorems are discussed to demonstrate the continue fraction method. 
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
In this paper, we consider a class of singular fractional differential equations with infinite-point...
AbstractThe polynomial Pell's equation is X2−DY2=1, where D is a polynomial with integer coefficient...
In the current study, the Bernoulli polynomials are used to obtain the numerical solution of fractio...
AbstractIn this paper, we solve a family of Diophantine equations associated with families of number...
Below we present some methods for calculating the limits of the numerical sequence.  
The binary quadratic equation 22 3 8 3 2 2 6 0 x xy y x y is studied for its non-trivial integ...
AbstractThis paper is motivated from some recent papers treating the boundary value problems for imp...
The classic method of continued fractions is applied to finding rational integer points of Pell coni...
AbstractThe method of differentiation by integration due to Lanczos is generalized to cover derivati...
We put the problem to determine the sets of integers in base b ≥ 2 that generate primes with using a...
AbstractThe principal thrust of this investigation is to provide families of quadratic polynomials {...
AbstractWe obtain a simple algorithm for computing additional solutions of a weighted heat equation
We present complete solution of Altarelli-Parisi (AP) evolution equation in next-to-leading order (N...
AbstractIn this note, we present two sufficient conditions for determining the signs of three-term r...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
In this paper, we consider a class of singular fractional differential equations with infinite-point...
AbstractThe polynomial Pell's equation is X2−DY2=1, where D is a polynomial with integer coefficient...
In the current study, the Bernoulli polynomials are used to obtain the numerical solution of fractio...
AbstractIn this paper, we solve a family of Diophantine equations associated with families of number...
Below we present some methods for calculating the limits of the numerical sequence.  
The binary quadratic equation 22 3 8 3 2 2 6 0 x xy y x y is studied for its non-trivial integ...
AbstractThis paper is motivated from some recent papers treating the boundary value problems for imp...
The classic method of continued fractions is applied to finding rational integer points of Pell coni...
AbstractThe method of differentiation by integration due to Lanczos is generalized to cover derivati...
We put the problem to determine the sets of integers in base b ≥ 2 that generate primes with using a...
AbstractThe principal thrust of this investigation is to provide families of quadratic polynomials {...
AbstractWe obtain a simple algorithm for computing additional solutions of a weighted heat equation
We present complete solution of Altarelli-Parisi (AP) evolution equation in next-to-leading order (N...
AbstractIn this note, we present two sufficient conditions for determining the signs of three-term r...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
In this paper, we consider a class of singular fractional differential equations with infinite-point...
AbstractThe polynomial Pell's equation is X2−DY2=1, where D is a polynomial with integer coefficient...