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Stability results for fractional integral pantograph differential equations involving two Caputo operators
Journal article   Open access  Peer reviewed

Stability results for fractional integral pantograph differential equations involving two Caputo operators

Abdelkader Moumen, Ramsha Shafqat, Zakia Hammouch, Azmat Ullah Khan Niazi and Mdi Begum Jeelani
AIMS mathematics, Vol.8(3), pp.6009-6025
01/01/2023
DOI: https://doi.org/10.3934/math.2023303

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we investigate the existence-uniqueness, and Ulam Hyers stability (UHS) of solutions to a fractional-order pantograph differential equation (FOPDE) with two Caputo operators. Banach's fixed point (BFP) and Leray-alternative Schauder's are used to prove the existence -uniqueness of solutions. In addition, we discuss and demonstrate various types of Ulam-stability for our problem. Finally, an example is provided for clarity.
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https://doi.org/10.3934/math.2023303View
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