On the Solution of Generalized Proportional Hadamard Fractional Integral Equations

Rahul Rahul,N K Mahato

doi:10.1007/978-981-99-0597-3_16

On the Solution of Generalized Proportional Hadamard Fractional Integral Equations

Rahul Rahul, N K Mahato

https://doi.org/10.1007/978-981-99-0597-3_16

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Publication Date: Jan 1, 2023

Affiliation: Indian Institute of Information Technology Design and Manufacturing Jabalpur

#Fractional Integral Equations #Measure Of Noncompactness + Show 8 more

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Abstract

In this article, we consider a new fractional integral equation, namely, generalized proportional Hadamard fractional (GPHF) integral equations. Then as an application of Darbo’s fixed point theory (DFPT), we establish the existence of the solution of above-mentioned GPHF integral equations, using a measure of noncompactness (MNC). At the end, we have provided a suitable example to verify our obtained results.

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