Existence of solutions for fractional boundary value problems with Riesz space derivative and nonlocal conditions

Şuayip Toprakseven

Abstract


By using the fixed point theorems,  we give sufficient conditions for the  existence and uniqueness of solutions for the nonlocal fractional boundary value problem of nonlinear Riesz-Caputo differential equation. The boundedness assumption on the nonlinear term is replaced by  growth conditions or by a continuous function. Finally, some examples are presented  to illustrate the applications of the obtained results.

Keywords


Fractional boundary value problem, Riesz-Caputo fractional derivative, existence and uniqueness, fixed point, nonlocal conditions

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2023.4.01

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