… applied mathematics. This renewal of interest, both in research and teaching, has led to the
establishment of the series Texts in Applied Mathematics … methods of applied mathematics. …

The concept of coupled fixed point for a partially ordered set 𝑋 was introduced in [4] by
Bhaskar and Lakshmikantham. Several other authors such as Ciric and Lakshmikantham [5], …

… In this Letter we study the exact solutions to a class of differential equation (1) ( 1 − x 2 ) d 2
H ( x ) d x 2 − 2 x d H ( x ) d x + [ λ − m 2 1 − x 2 − a + b x + c x 2 1 − x 2 ] H ( x ) = 0 , ( − 1 ≤ x …

… Let A be a finite ordered alphabet and let a, z be respectively the least and the largest letters
of A. Denote by σ the shift operator defined on a word w = a 1 a 2 ⋯ a n by σ ( w ) = a 2 ⋯ a n …

We present a first example of an integrable ( 3 + 1 ) -dimensional dispersionless system
with nonisospectral Lax pair involving algebraic, rather than rational, dependence on the …

… in classical analysis and in applied mathematics. Its successes have been such that it is
difficult to imagine that a strong light cannot be cast on the solution of almost any problem in …

In the present study, we converted the resulting nonlinear equation for the evolution of
weakly nonlinear hydrodynamic disturbances on a static cosmological background with self-…

A new shifted Chebyshev operational matrix (SCOM) of fractional integration of arbitrary
order is introduced and applied together with spectral tau method for solving linear fractional …

A new explicit closed-form formula for the multivariate ( n , k ) th partial Bell polynomial B n ,
k ( x 1 , x 2 , … , x n − k + 1 ) is deduced. The formula involves multiple summations and …

This paper addresses ( 2 + 1 )-dimensional nonlinear Schrödinger equation (NLSE). For the
special case, linear Schrödinger equation (LSE), it can be transformed into the same form of …