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<p>In this paper we introduce a space of functions with square average exponential growth, and characterize the Laplace transform of this space of functions. We also obtain several special classes of the space. As applications, we study the solvability of several multi-term Caputo and Riemann-Liouville fractional integro-differential equations in this space and derive the solutions in explicit form.</p>

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Fractional integro-differential equations in square average exponential growth functions spaces

  • 期刊论文

  • 发表日期：

    2026年1月23日

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  • Tran Dinh Phung,
  • Vu Kim Tuan,
  • Dinh Thanh Duc

摘要

In this paper we introduce a space of functions with square average exponential growth, and characterize the Laplace transform of this space of functions. We also obtain several special classes of the space. As applications, we study the solvability of several multi-term Caputo and Riemann-Liouville fractional integro-differential equations in this space and derive the solutions in explicit form.