Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions
No Thumbnail Available
Date
2022-05-07
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Abstract: 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.