STUDY OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR HYBRID DIFFERENTIAL EQUATIONS INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVE WITH MEASURES OF NONCOMPACTNESS

The main objective of this research is to discuss the existence of solutions for a nonlocal hybrid boundary value problem of ψ -Caputo fractional differential equations. To prove this result, we use Darbo’s fixed point theorem and some essential concepts in fractional analysis of ψ -Caputo. Furtherm...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-04, Vol.271 (4), p.458-467
Main Authors: Chefnaj, Najat, Taqbibt, Abdellah, Hilal, Khalid, Melliani, Said
Format: Article
Language:English
Subjects:
Boundary value problems
Differential equations
Fixed points (mathematics)
Fractional calculus
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary:The main objective of this research is to discuss the existence of solutions for a nonlocal hybrid boundary value problem of ψ -Caputo fractional differential equations. To prove this result, we use Darbo’s fixed point theorem and some essential concepts in fractional analysis of ψ -Caputo. Furthermore, we provide an example to demonstrate the practical applications of our findings.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06582-z