Non‐existence of global solution for a nonlinear integro‐differential inequality

Author:

Javed Sehrish1ORCID,Kirane Mokhtar23,Malik Salman A.4ORCID

Affiliation:

1. Department of Mathematics COMSATS University Islamabad Chak Shahzad Islamabad Pakistan

2. Department of Mathematics Khalifa University Abu Dhabi United Arab Emirates

3. NAAM Research Group Department of Mathematics, Faculty of Sciences King Abdulaziz University Jeddah Saudi Arabia

4. Department of Mathematics COMSATS University Chak Shahzad Islamabad Pakistan

Abstract

Nonlinear integro‐differential inequalities involving two arbitrary kernels are considered. Our results generalize some previous cases. The result about non‐existence of global solution in time has been proved. Our method of proof is based on the weak formulation of the problem.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference17 articles.

1. Non-Existence of Global Solutions for a Fractional Integro-Differential Problem with a Convolution Kernel

2. Non‐existence of global solutions for class of fractional integro‐differential problems;Ahmad A. M.;Adv. Differ. Equ., (Armenian Academy of Sciences),2017

3. Necessary conditions for the existence of global solutions to systems of fractional differential equations;Furati K.;Fract. Calc. Appl. Anal.,2008

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