عنوان
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Study of a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal BCs
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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$\psi$-Hilfer fractional derivative; Nonlocal conditions; Existence and uniqueness; Kuratowski measure of noncompactness; Stability
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چکیده
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This paper deals with the existence and uniqueness of solutions for a nonlinear1 boundary value problem involving a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal boundary conditions. The existence and uniqueness of solutions are established for the considered problem by using the Banach contraction principle, Sadovski’s fixed point theorem, and Krasnoselskii-Schaefer fixed point theorem due to Burton and Kirk. In addition, the Ulam-Hyers stability of solutions is discussed. Finally, the obtained results are illustrated by examples.
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پژوهشگران
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فائوزی هادوچی (نفر اول)، محمداسماعیل سامعی (نفر دوم)، شهرام رضاپور (نفر سوم)
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