Scholarlink

<p>The main objective of the present investigation is the fractional generalization of the hyperbolic-type equation. For this aim, first, we introduce bivariate and trivariate Mittag-Leffler type functions, studying certain properties. Furthermore, the solution to an initial-boundary value problem (Goursat’s problem) for the fractional generalization of a hyperbolic-type equation involving the regularized Prabhakar operator is presented via the introduced bivariate and trivariate Mittag-Leffler type functions. We equivalently reduce the formulated problem to the integral equation, solving it by the successive iteration method.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Fractional generalization of hyperbolic-type equation and bivariate, trivariate Mittag-Leffler type functions

  • 期刊论文

  • 发表日期：

    2026年1月8日

查看全文
  • Erkinjon Karimov,
  • Khurshidjon Turdiev,
  • Doniyor Usmonov

摘要

The main objective of the present investigation is the fractional generalization of the hyperbolic-type equation. For this aim, first, we introduce bivariate and trivariate Mittag-Leffler type functions, studying certain properties. Furthermore, the solution to an initial-boundary value problem (Goursat’s problem) for the fractional generalization of a hyperbolic-type equation involving the regularized Prabhakar operator is presented via the introduced bivariate and trivariate Mittag-Leffler type functions. We equivalently reduce the formulated problem to the integral equation, solving it by the successive iteration method.