جستجوی مقالات مرتبط با کلیدواژه « p-laplacian operator » در نشریات گروه « ریاضی »
تکرار جستجوی کلیدواژه «p-laplacian operator» در نشریات گروه «علوم پایه»-
Journal of Mathematical Analysis and its Contemporary Applications, Volume:3 Issue: 4, Autumn 2021, PP 41 -62This paper investigates the existence of single and multiple positive positive solutions of fractional differential equations with p-Laplacian by means of the Green's function properties, the Guo-Krasnosel'skii fixed point theorem, the monotone iterative technique accompanied by established sufficient conditions and the Leggett-Williams fixed point theorem. Additionally, the main results are illustrated by some examples to show their validity.Keywords: Riemann-Liouville fractional derivative, p-Laplacian operator, Fixed point theorems, Boundary value problems}
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The aim of this work is to prove the existence and uniqueness of the positive solutions for a fractional boundary value problem by a parameterized integral boundary condition with p-Laplacian operator. By using iteration sequence, the existence of two solutions is proved. Also by applying a fixed point theorem on solid cone, the result for the uniqueness of a positive solution to the problem is obtained. Two examples are given to confirm our results.Keywords: Fractional differential equations, P-Laplacian operator, Integral Boundary Condition}
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In this study, inverse nodal problem is solved for the p-Laplacian operator with two potential functions. We present some asymptotic formulas which have been proved in [17,18] for the eigenvalues, nodal points and nodal lengths, provided that a potential function is unknown. Then, using the nodal points we reconstruct the potential function and its derivatives. We also introduce a solution of inverse nodal problem when the two potential functions are unknown.Keywords: Prufer substitution, Inverse nodal problem, P-Laplacian operator}
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In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.Keywords: Fractional differential equations, Three point boundary conditions, Fixed point theorems, P-Laplacian operator}
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