Classifying First Extremal Points for a Fractional Boundary Value Problem with a Fractional Boundary Condition
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DOI: 10.1007/s00009-017-0974-y
Abstract: Let $$n\in \mathbb {N}$$n∈N, $$n\ge 2$$n≥2, $$\beta >0$$β>0 fixed, and $$0 read more here.
Keywords: value problem; boundary value; extremal points; fractional boundary ... See more keywords
An Improved Algorithm Based on Finite Difference Schemes for Fractional Boundary Value Problems with Nonsmooth Solution
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DOI: 10.1007/s10915-017-0417-8
Abstract: In this paper, an efficient algorithm is presented by the extrapolation technique to improve the accuracy of finite difference schemes for solving the fractional boundary value problems with nonsmooth solution. Two popular finite difference schemes,… read more here.
Keywords: difference; nonsmooth solution; solution; fractional boundary ... See more keywords
The forward and inverse problems for a fractional boundary value problem
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DOI: 10.1080/00036811.2017.1376248
Abstract: ABSTRACT In this paper, the authors study the forward and inverse problems for a fractional boundary value problem with Dirichlet boundary conditions. The existence and uniqueness of solutions for the forward problem is first proved.… read more here.
Keywords: forward inverse; boundary value; inverse problems; problems fractional ... See more keywords
Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1850-4
Abstract: AbstractA Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem (CDaα,ψu)(x)+f(x,u(x))=0,a read more here.
Keywords: lyapunov type; anti periodic; periodic fractional; boundary value ... See more keywords
On the existence of solutions for fractional boundary value problems on the ethane graph
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DOI: 10.1186/s13662-020-02736-4
Abstract: A few researchers have studied fractional differential equations on star graphs. They use star graphs because their method needs a common point which has edges with other nodes while other nodes have no edges between themselves.… read more here.
Keywords: problems ethane; solutions fractional; boundary value; fractional boundary ... See more keywords
A unified fixed point approach to study the existence of solutions for a class of fractional boundary value problems arising in a chemical graph theory
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DOI: 10.1371/journal.pone.0270148
Abstract: A theory of chemical graphs is a part of mathematical chemistry concerned with the effects of connectedness in chemical graphs. Several researchers have studied the solutions of fractional differential equations using the concept of star… read more here.
Keywords: fixed point; graph; fractional boundary; chemical ... See more keywords
POSITIVE SOLUTIONS FOR FRACTIONAL BOUNDARY VALUE PROBLEMS UNDER A GENERALIZED FRACTIONAL OPERATOR
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DOI: 10.22541/au.161431159.99663085/v1
Abstract: The work reported here concerns with study a generalized nonlinear fractional boundary value problems involving ϑ-fractional derivative in the Riemann-Liouville sense. The existence and uniqueness of positive solutions to the problem at hand are proved.… read more here.
Keywords: positive solutions; solutions fractional; boundary value; fractional boundary ... See more keywords
On the existence and multiplicity of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition
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DOI: 10.2298/fil2301235a
Abstract: Aim of this work is to investigate existence and multiplicity of positive solutions of a fractional boundary value problem with an integral boundary condition with p-Laplacian operator. Necessary and sufficient conditions are presented to obtain… read more here.
Keywords: existence multiplicity; multiplicity positive; multiplicity; fractional boundary ... See more keywords
Analytical solutions to contact problem with fractional derivatives in the sense of Caputo
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DOI: 10.2298/tsci20s1313n
Abstract: The current study extends the applications of the variational iteration method for the analytical solution of fractional contact problems. The problem involves Caputo sense while calculating the derivative of fractional order, we apply the Penalty… read more here.
Keywords: analytical solutions; solution fractional; boundary value; variational iteration ... See more keywords
A New Proof for Lyapunov-Type Inequality on the Fractional Boundary Value Problem
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DOI: 10.3390/sym13010029
Abstract: In this article, some new Lyapunov-type inequalities for a class of fractional boundary value problems are established by use of the nonsymmetry property of Green’s function corresponding to appropriate boundary conditions. read more here.
Keywords: lyapunov type; boundary value; fractional boundary;
Existence of three solutions for impulsive nonlinear fractional boundary value problems
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DOI: 10.7494/opmath.2017.37.2.281
Abstract: In this work we present new criteria on the existence of three solutions for a class of impulsive nonlinear fractional boundary-value problems depending on two parameters. We use variational methods for smooth functionals defined on… read more here.
Keywords: three solutions; nonlinear fractional; existence three; boundary value ... See more keywords