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A new class of \(\psi \)-Caputo fractional differential equations and inclusion - MaRDI portal

A new class of \(\psi \)-Caputo fractional differential equations and inclusion (Q1983410)

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scientific article; zbMATH DE number 7393943
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A new class of \(\psi \)-Caputo fractional differential equations and inclusion
scientific article; zbMATH DE number 7393943

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    A new class of \(\psi \)-Caputo fractional differential equations and inclusion (English)
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    10 September 2021
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    Summary: In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with \(\psi\)-Caputo fractional derivative supplemented with nonlocal multipoint, Riemann-Stieltjes integral and \(\psi\)-Riemann-Liouville fractional integral operator of order \(\gamma\) boundary conditions. Also, we study the existence result for the inclusion case. Our results are based on the modern tools of the fixed-point theory. To illustrate our results, we provide examples.
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