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In this paper, we investigate the existence and uniqueness of solutions for fractional order partial fractional differential equations with integral conditions. By using the technique of energy estimates, we derive an a priori estimate on solutions and establish the density of the range of the operator generated by the given problem. Our approach via energy estimates provides important insights into the well-posedness and qualitative behavior of solutions for this class of fractional differential equations.

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Existence and Uniqueness of Strong Solution of the Time Fractional Integro-Differential Equation with Integral Boundary Conditions

  • 会议论文

  • 发表日期：

    2026年

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  • Ouarda Benmanseur,
  • Ahcene Merad,
  • Khaled Saoudi

摘要

In this paper, we investigate the existence and uniqueness of solutions for fractional order partial fractional differential equations with integral conditions. By using the technique of energy estimates, we derive an a priori estimate on solutions and establish the density of the range of the operator generated by the given problem. Our approach via energy estimates provides important insights into the well-posedness and qualitative behavior of solutions for this class of fractional differential equations.