Weakly singular integral inequalities and global solutions for fractional differential equations of Riemann-Liouville type
Zhu Tao
TL;DR
This paper introduces new weakly singular integral inequalities and applies them to establish global existence and uniqueness of solutions for Riemann-Liouville fractional differential equations, supported by illustrative examples.
Contribution
It presents novel weakly singular integral inequalities and demonstrates their use in proving global solutions for fractional Riemann-Liouville equations.
Findings
New weakly singular integral inequalities derived.
Established global existence and uniqueness results.
Provided examples demonstrating applicability.
Abstract
In this paper, we obtain some new results about weakly singular integral inequalities. These inequalities are used to discuss the global existence and uniqueness results for fractional differential equations of Riemann-Liouville type. Some examples are provided to illustrate the applicability of our main results.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Fractional Differential Equations Solutions · Differential Equations and Boundary Problems