In this article, we examine a coupled system of fractional integrodifferential equations of Liouville-Caputo form with instantaneous impulsive conditions in a Banach space. We obtain the existence and uniqueness results by applying the theory of fixed point theorems. In a similar manner, we discuss Hyers-Ulam stability and controllability. We also present an example to show the validity of the obtained results.
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Virginia Mil Inst VMI, Dept Appl Math, Lexington, VA USA
Virginia Mil Inst VMI, Dept Appl Math, Mallory Hall, Lexington, VA 24450 USAVirginia Mil Inst VMI, Dept Appl Math, Lexington, VA USA
Chalishajar, Dimplekumar
Kasinathan, Ravikumar
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PSG Coll Arts & Sci, Dept Math, Coimbatore, IndiaVirginia Mil Inst VMI, Dept Appl Math, Lexington, VA USA
Kasinathan, Ravikumar
Kasinathan, Ramkumar
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PSG Coll Arts & Sci, Dept Math, Coimbatore, IndiaVirginia Mil Inst VMI, Dept Appl Math, Lexington, VA USA
Kasinathan, Ramkumar
Kasinathan, Dhanalakshmi
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Deemed be Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, IndiaVirginia Mil Inst VMI, Dept Appl Math, Lexington, VA USA
Kasinathan, Dhanalakshmi
David, John A.
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Virginia Mil Inst VMI, Dept Appl Math, Lexington, VA USAVirginia Mil Inst VMI, Dept Appl Math, Lexington, VA USA
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King Khalid Univ, Fac Sci, Dept Math, Abha 61413, Saudi ArabiaUniv Peshawar, Dept Math, Peshawar 25000, Pakistan
Kallekh, Afef
Popa, Ioan-Lucian
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1 Decembrie 1918 Univ Alba Iulia, Dept Comp Math & Elect, Alba Iulia 510009, Romania
Transilvania Univ Brasov, Fac Math & Comp Sci, Iuliu Maniu St 50, Brasov 500091, RomaniaUniv Peshawar, Dept Math, Peshawar 25000, Pakistan