Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions

Djamila Chergui2024-02-152024-02-152022-05-07http://dspace.univ-khenchela.dz:4000/handle/123456789/1130Abstract: In this paper, we prove the existence and uniqueness of Caputo time fractionalpseudo-hyperbolic equationsof higher order with purely nonlocal conditions of integral type.We use an a priori estimate method; theso-called energy inequalities method, based on some functional analysis tools, is developed for a Caputo time fractionalof 2m-th and (2m + 1)-thorder and the density of the range of the operator generated by the considered problem. Using the Laplace transform and homotopy perturbation, wefind a semi-analyticalsolution. Finally, we give some examples for illustration.enExistence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditionsExistence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditionsArticle