To investigate a class of multi-singular pointwise defined fractional $ q $–integro-differential equation with applications

In the research work, we discuss a multi-singular pointwise defined fractional $ q $–integro-differential equation under some boundary conditions via the Riemann-Liouville $ q $–integral and Caputo fractional $ q $–derivatives. New existence results rely on the $ \alpha $-admissible map and fixed po...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 5; pp. 7781 - 7816
Main Authors Samei, Mohammad Esmael, Karimi, Lotfollah, Kaabar, Mohammed K. A.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
caputo q–derivation
integral boundary conditions
pointwise defined equations
singularity
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Summary:In the research work, we discuss a multi-singular pointwise defined fractional $ q $–integro-differential equation under some boundary conditions via the Riemann-Liouville $ q $–integral and Caputo fractional $ q $–derivatives. New existence results rely on the $ \alpha $-admissible map and fixed point theorem for $ \alpha $-$ \mathtt{ψ} $-contraction map. At the end, we present an example with application and some algorithms to illustrate the primary effects.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022437