An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty

A new method is proposed for solving systems of fuzzy fractional differential equations (SFFDEs) with fuzzy initial conditions involving fuzzy Caputo differentiability. For this purpose, three cases are introduced based on the eigenvalue-eigenvector approach; then it is shown that the solution of system of fuzzy fractional differential equations is vector of fuzzy-valued functions. Then the method is validated by solving several examples

Psycho-education programme for temporomandibular disorders: a pilot study

BACKGROUND: Temporomandibular disorders (TMDs) are by far the most predominant condition affecting the temporomandibular joint (TMJ), however many patients have mild self-limiting symptoms and should not be referred for specialist care. The aim of this pilot study was to develop a simple, cost-effective management programme for TMDs using CD-ROM. 41 patients (age 18–70) participated in this study, patients were divided into three groups: the 1st group were involved in an attention placebo CD-ROM (contain anatomical information about the temporomandibular system), the 2nd group received information on CD-ROM designed to increase their control and self efficacy, while the 3rd group received the same programme of the 2nd group added to it an introduction to self-relaxing techniques followed by audio tape of progressive muscle relaxation exercises. Each of the groups was asked to complete a number of questionnaires on the day of initial consultation and six weeks afterwards. RESULTS: The two experimental groups (2nd & 3rd) were equally effective in reducing pain, disability and distress, and both were more effective than the attention placebo group (1st), however the experimental groups appeared to have improved at follow-up relative to the placebo-group in terms of disability, pain and depressed mood. CONCLUSION: This pilot study demonstrates the feasibility and acceptability of the design. A full, randomized, controlled trial is required to confirm the efficacy of the interventions developed here