Advances in the Theory of Nonlinear Analysis and its Application

Yazarlar: ["Alı EL MFADEL", "Said MELLİANİ", "Elomari M'HAMED"]

Konular:-

DOI:10.31197/atnaa.1059793

Anahtar Kelimeler:$\psi-$fractional integral,$\psi-$Caputo fractional derivative,Fixed point,Kuratowski measure,Topological degree theory

Özet: This manuscript is devoted to the investigation of the existence results of fractional Cauchy problem for some nonlinear ψ−Caputo fractional differential equations with non local conditions. By applying fixed point theorems, some results of topological degree theory for condensing maps and some fractional analysis techniques, we establish some new existence theorems. As application, a nontrivial example is given to illustrate our theoretical results.

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