Existence criteria for fractional differential equations using the topological degree method

Kottakkaran Sooppy Nisar,Chokkalingam Ravichandran,Wedad Albalawi,Suliman Alsaeed,Abdel-Haleem Abdel-Aty,Kalimuthu Kaliraj

doi:10.3934/math.20231117

Existence criteria for fractional differential equations using the topological degree method

Kottakkaran Sooppy Nisar, Chokkalingam Ravichandran + Show 4 more

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https://doi.org/10.3934/math.20231117

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Journal: AIMS Mathematics	Publication Date: Jan 1, 2023
Citations: 5	License type: cc-by

Affiliation: Prince Sattam Bin Abdulaziz University, Princess Nourah bint Abdulrahman University, Umm al-Qura University, University of Bisha, University of Madras

#Caputo-Hadamard Fractional Derivative #Topological Degree Method + Show 8 more

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Abstract

<abstract><p>In this work, we analyze the fractional order by using the Caputo-Hadamard fractional derivative under the Robin boundary condition. The topological degree method combined with the fixed point methodology produces the desired results. Finally to show how the key findings may be utilized, applications are presented.</p></abstract>

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