<p>We introduce the definition of triple new Laplace type integral transform in q-calculus namely q-triple new Laplace type integral transform, by using the functions of several variables and establish some properties. Furthermore, several theorems dealing with the properties of the q-triple new Laplace type Integral transform are proved. We also give some applications of q-triple new Laplace type Integral transform for solving non-homogeneous Mboctara partial differential equation and diffusion partial differential equation with initial and boundary values problems to its effectiveness and performance of the proposed method.</p>

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On q-New Laplace Type Integral Transform of Three Variables with Applications

  • Srikumar Panda,
  • Arvind Kumar Sinha

摘要

We introduce the definition of triple new Laplace type integral transform in q-calculus namely q-triple new Laplace type integral transform, by using the functions of several variables and establish some properties. Furthermore, several theorems dealing with the properties of the q-triple new Laplace type Integral transform are proved. We also give some applications of q-triple new Laplace type Integral transform for solving non-homogeneous Mboctara partial differential equation and diffusion partial differential equation with initial and boundary values problems to its effectiveness and performance of the proposed method.