On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations by Lahcen Ibnelazyz, Karim Guida, Said Melliani, Khalid Hilal

“…The aim of this paper is to give the existence as well as the uniqueness results for a multipoint nonlocal integral boundary value problem of nonlinear sequential fractional integrodifferential equations. …”
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Finite Difference Method for Solving a System of Third-Order Boundary Value Problems by Muhammad Aslam Noor, Eisa Al-Said, Khalida Inayat Noor

“…We develop a new-two-stage finite difference method for computing approximate solutions of a system of third-order boundary value problems associated with odd-order obstacle problems. …”
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Existence and Global Behavior of Positive Solutions for Some Fourth-Order Boundary Value Problems by Ramzi S. Alsaedi

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The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition by Allaberen Ashyralyev, Elif Ozturk

“…We are interested in studying the stable difference schemes for the numerical solution of the nonlocal boundary value problem with the Dirichlet-Neumann condition for the multidimensional elliptic equation. …”
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On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems by Vicente Soler, Emilio Defez, Roberto Capilla, José Antonio Verdoy

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Existence of Multiple Solutions for a Class of n-Dimensional Discrete Boundary Value Problems by Weiming Tan, Zhan Zhou

“…By using critical point theory, we obtain some new results on the existence of multiple solutions for a class of n-dimensional discrete boundary value problems. Results obtained extend or improve existing ones.…”
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Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives by Takieddine Zeghida, Rabah Khaldi, Assia Guezane-Lakoud

“…This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions. …”
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Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator by Zhi-Wei Lv, Xu-Dong Zheng

“…We discuss the existence of solutions about generalized antiperiodic boundary value problems for the fractional differential equation with p-Laplacian operator , , , , , , where is the Caputo fractional derivative, , , , and , , , . …”
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Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures by Wen-Xue Zhou, Jigen Peng

“…The existence and uniqueness of the solutions to the Dirichlet boundary value problem in the Banach spaces is discussed by using the fixed point theory of condensing mapping, doing precise computation of measure of noncompactness, and calculating the spectral radius of linear operator.…”
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Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence by Huiqin Lu

“…By constructing a special cone in C1[0,2π] and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. …”
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Notes on Local and Nonlocal Intuitionistic Fuzzy Fractional Boundary Value Problems with Caputo Fractional Derivatives by Ali El Mfadel, Said Melliani, M’hamed Elomari

“…In this paper, we investigate the existence and uniqueness results of intuitionistic fuzzy local and nonlocal fractional boundary value problems by employing intuitionistic fuzzy fractional calculus and some fixed-point theorems. …”
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Positive Solutions for Class of State Dependent Boundary Value Problems with Fractional Order Differential Operators by Dongyuan Liu, Zigen Ouyang, Huilan Wang

“…We consider the following state dependent boundary-value problem D0+αy(t)-pD0+βg(t,y(σ(t)))+f(t,y(τ(t)))=0, 0<t<1; y(0)=0, ηy(σ(1))=y(1), where Dα is the standard Riemann-Liouville fractional derivative of order 1<α<2, 0<η<1, p≤0, 0<β<1, β+1-α≥0 the function g is defined as g(t,u):[0,1]×[0,∞)→[0,∞), and g(0,0)=0 the function f is defined as f(t,u):[0,1]×[0,∞)→[0,∞)σ(t), τ(t) are continuous on t and 0≤σ(t), τ(t)≤t. …”
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Positive and Nondecreasing Solutions to an m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation by I. J. Cabrera, J. Harjani, K. B. Sadarangani

“…We are concerned with the existence and uniqueness of a positive and nondecreasing solution for the following nonlinear fractional m-point boundary value problem: D0+αu(t)+f(t,u(t))=0,  0<t<1,  2<α≤3,  u(0)=u'(0)=0,  u'(1)=∑i=1m-2aiu'(ξi), where D0+α denotes the standard Riemann-Liouville fractional derivative, f:[0,1]×[0,∞)→[0,∞) is a continuous function, ai≥0 for i=1,2,…,m-2, and 0<ξ1<ξ2<⋯<ξm-2<1. …”
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A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems by Jing Niu, Yingzhen Lin, Minggen Cui

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Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements by Dovlet M. Dovletov

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Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem by Yongping Sun, Qian Sun, Xiaoping Zhang

“…This paper is concerned with the existence and nonexistence of positive solutions for a nonlinear higher-order three-point boundary value problem. The existence results are obtained by applying a fixed point theorem of cone expansion and compression of functional type due to Avery, Henderson, and O’Regan.…”
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Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales by Yanbin Sang

“…We study the existence of positive solutions for a class of m-point boundary value problems on time scales. Our approach is based on the monotone iterative technique and the cone expansion and compression fixed point theorem of norm type. …”
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Multiple Solutions for Second-Order Sturm–Liouville Boundary Value Problems with Subquadratic Potentials at Zero by Dan Liu, Xuejun Zhang, Mingliang Song

“…We deal with the following Sturm–Liouville boundary value problem: −Ptx′t′+Btxt=λ∇xVt,x,  a.e. t∈0,1x0cos  α−P0x′0sin  α=0x1cos  β−P1x′1sin  β=0 Under the subquadratic condition at zero, we obtain the existence of two nontrivial solutions and infinitely many solutions by means of the linking theorem of Schechter and the symmetric mountain pass theorem of Kajikiya. …”
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Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations by Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi, Hana Al-Hutami

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An Efficient Collocation Method for a Class of Boundary Value Problems Arising in Mathematical Physics and Geometry by A. H. Bhrawy, A. S. Alofi, R. A. Van Gorder

“…We present a numerical method for a class of boundary value problems on the unit interval which feature a type of power-law nonlinearity. …”
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