Weakly singular integral inequalities and global solutions for fractional differential equations of Riemann-Liouville type

DOI10.1007/s00009-021-01824-3zbMath1503.34039OpenAlexW3204248146WikidataQ114232261 ScholiaQ114232261MaRDI QIDQ2050148

Tao Zhu

Publication date: 30 August 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01824-3

zbMATH Keywords

fixed point theoremfractional differential equationsRiemann-Liouville fractional derivativeweakly singular integral inequalities

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Singular integral equations (45E99) Fractional ordinary differential equations (34A08)

Related Items (1)

A new Bihari inequality and initial value problems of first order fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new fractional integral inequality with singularity and its application
• Fractional integral inequalities and applications
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Nonlinear evolution equations - global behavior of solutions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A new approach to an analysis of Henry type integral inequalities and their Bihari type versions
• Integral inequalities and global solutions of semilinear evolution equations
• Weakly singular Gronwall inequalities and applications to fractional differential equations
• Existence of solutions to initial value problems for nonlinear fractional differential equations on the semi-axis
• Über die Methode der a priori-Schranken
• Complementary equations: a fractional differential equation and a Volterra integral equation
• Fractional integral inequalities and global solutions of fractional differential equations

This page was built for publication: Weakly singular integral inequalities and global solutions for fractional differential equations of Riemann-Liouville type