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Title
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On a fractional Caputo–Hadamard inclusion problem with sum boundary value conditions by using approximate endpoint property
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Type
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JournalPaper
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Keywords
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\alpha-\psi-contractive mappings, approximate endpoint property, inclusion problem, the fractional Caputo–Hadamard derivative
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Abstract
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In the present research manuscript, we introduce a novel general fractional boundary value inclusion problem and investigate the necessary and sufficient conditions for desired existence results. Indeed, more precisely, we formulate a class of fractional multiterm Caputo–Hadamard differential inclusion problem with two-point sum boundary value conditions. In two separate theorems, we prove the existence results for mentioned inclusion problem by using 𝛼-𝜓-contractive maps and approximate endpoint property. Finally, we provide an example to illustrate our main results
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Researchers
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Mohammad Esmael Samei (Third Researcher), shahram Rezapour (Second Researcher), Sina Etemad (First Researcher)
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