Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block-Pulse Functions for Solving a System of Fractional Differential Equations by Abdulqawi A. M. Rageh, Adel R. Hadhoud

“…Using these hybrid bases and the operational matrices method, the system of fractional differential equations is reduced to a system of algebraic equations. …”
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Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application by Caixia Guo, Jianmin Guo, Ying Gao, Shugui Kang

“…This paper is concerned with the two-point boundary value problems of nonlinear finite discrete fractional differential equations. On one hand, we discuss some new properties of the Green function. …”
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Qualitative results and numerical approximations of the $ (k, \psi) $-Caputo proportional fractional differential equations and applications to blood alcohol levels model by Weerawat Sudsutad, Chatthai Thaiprayoon, Aphirak Aphithana, Jutarat Kongson, Weerapan Sae-dan

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On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions by Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani

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Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers by Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo, Farzad Kiani, Samad Noeiaghdam, Unai Fernandez-Gamiz

“…In this paper, we consider a conformable fractional differential equation with a constant coefficient and obtain an approximation for this equation using the Radu–Mihet method, which is derived from the alternative fixed- point theorem. …”
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Novel exploration of topological degree method for noninstantaneous impulsive fractional integro-differential equation through the application of filtering system by Kanagaraj Muthuselvan, Baskar Sundaravadivoo, Shankar Rao Munjam, Kottakkaran Sooppy Nisar

Subjects: “…Fractional differential equation…”
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The weighted generalized Atangana-Baleanu fractional derivative in banach spaces- definition and applications by Muneerah AL Nuwairan, Ahmed Gamal Ibrahim

Subjects: “…fractional differential equations…”
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Elements of mathematical phenomenology and analogies of electrical and mechanical oscillators of the fractional type with finite number of degrees of freedom of oscillations: linea... by Katica R. (Stevanović) Hedrih, Gradimir V. Milovanović

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Quantitative analysis and stability results in $ \beta $-normed space for sequential differential equations with variable coefficients involving two fractional derivatives by Debao Yan

Subjects: “…sequential fractional differential equations…”
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A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function by Farnoosh Abooali, Aliasghar Jodayree Akbarfam

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Existence, uniqueness and stability analysis of a nonlinear coupled system involving mixed ϕ-Riemann-Liouville and ψ-Caputo fractional derivatives by Said Zibar, Brahim Tellab, Abdelkader Amara, Homan Emadifar, Atul Kumar, Sabir Widatalla

Subjects: “…Fractional differential equations…”
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A new epidemic model of sexually transmittable diseases: a fractional numerical approach by Mudassar Rafique, Muhammad Aziz Ur Rehamn, Aisha M. Alqahtani, Muhammad Rafiq, A. F. Aljohani, Zafar Iqbal, Nauman Ahmed, Shafiullah Niazai, Ilyas Khan

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Analytic solutions of a generalized complex multi-dimensional system with fractional order by Baleanu Dumitru, Ibrahim Rabha W.

Subjects: “…fractional differential equations…”
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On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative by Abduljawad Anwar, Shayma Adil Murad

Subjects: “…fractional differential equations $ ({\mathcal{fde}}{s}) $…”
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Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order by Veyis Turut, Nuran Güzel

“…First, the fractional differential equation has been solved and converted to power series by Adomian decomposition method (ADM), then power series solution of fractional differential equation was put into multivariate Padé series. …”
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Solution of Extraordinary Differential Equations with Physical Reasoning by Obtaining Modal Reaction Series by Shantanu Das

“…This modal reaction as explained by physics theory exactly matches the principle of Adomian Decomposition Method (ADM). Fractional Differential Equation (FDE) with Riemann-Liouvelli formulation linear and non-linear is solved as per ADM. …”
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Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator by Ruihui Huang

“…We study the existence and uniqueness of solutions for a class of antiperiodic boundary value problems of the fractional differential equation with a p-Laplacian operator. Based on the Leray-Schauder nonlinear alternative, several sufficient conditions of the existence and uniqueness of solution of the above problem are established. …”
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A Stochastic Approach to Modeling Food Pattern by Komla Elom Adedje, Diakarya Barro

“…In this paper, we propose a fractional differential equation of order one-half, to model the evolution through time of the dynamics of accumulation and elimination of the contaminant in the human organism with a deficient immune system, during consecutive intakes of contaminated food. …”
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On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals by Lufeng Gu, Qiuyan Zhong, Zhuyan Shao

“…In this paper, the existence result of at least two positive solutions is obtained for a nonlinear Riemann-Liouville fractional differential equation subject to nonlocal boundary conditions, where fractional derivatives and Riemann-Stieltjes integrals are involved. …”
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Existence of nonnegative solutions for a nonlinear fractional boundary value problem by Assia Guezane-Lakoud, Kheireddine Belakroum

“…This paper deals with the existence of solutions for a class of boundary value problem (BVP) of fractional differential equation with three point conditions via Leray-Schauder nonlinear alternative. …”
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