Symmetries of Integro-Differential Equations

Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations

“…After computing the approximate symmetries, the corresponding invariant solutions are constructed via the classical Lie symmetry method [14]. One may refer the reader for some cases of studying unperturbed and perturbed non-linear wave equations to Bokhari, Kara, Karim, Zaman [15] and Zhi-Yong, Yu-Fu and Xue-Lin [12].…”

On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms

“…In spite of having many useful applications (see [7]), not many integro-differential equations can be solved in closed form. No application of convolution type transforms of solving integro-differential was presented in recent investigations [3], [4], [13], [15].…”

A Fourier generalized convolution transform and applications to integral equations

“…Inspire of having many useful applications (see [6]), not so many integral equations can be solved in a closed form. In this section, we consider the following integral equation related to the transform (3.1) Then problem (4.1) has a unique solution in L 1 (R + ) that has the form…”